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Simplifying 5(2x + 4) + 6(x + 3) = 9(3x + 4) + 7(x + -3) Reorder the terms: 5(4 + 2x) + 6(x + 3) = 9(3x + 4) + 7(x + -3) (4 * 5 + 2x * 5) + 6(x + 3) = 9(3x + 4) + 7(x + -3) (20 + 10x) + 6(x + 3) = 9(3x + 4) + 7(x + -3) Reorder the terms: 20 + 10x + 6(3 + x) = 9(3x + 4) + 7(x + -3) 20 + 10x + (3 * 6 + x * 6) = 9(3x + 4) + 7(x + -3) 20 + 10x + (18 + 6x) = 9(3x + 4) + 7(x + -3) Reorder the terms: 20 + 18 + 10x + 6x = 9(3x + 4) + 7(x + -3) Combine like terms: 20 + 18 = 38 38 + 10x + 6x = 9(3x + 4) + 7(x + -3) Combine like terms: 10x + 6x = 16x 38 + 16x = 9(3x + 4) + 7(x + -3) Reorder the terms: 38 + 16x = 9(4 + 3x) + 7(x + -3) 38 + 16x = (4 * 9 + 3x * 9) + 7(x + -3) 38 + 16x = (36 + 27x) + 7(x + -3) Reorder the terms: 38 + 16x = 36 + 27x + 7(-3 + x) 38 + 16x = 36 + 27x + (-3 * 7 + x * 7) 38 + 16x = 36 + 27x + (-21 + 7x) Reorder the terms: 38 + 16x = 36 + -21 + 27x + 7x Combine like terms: 36 + -21 = 15 38 + 16x = 15 + 27x + 7x Combine like terms: 27x + 7x = 34x 38 + 16x = 15 + 34x Solving 38 + 16x = 15 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 38 + 16x + -34x = 15 + 34x + -34x Combine like terms: 16x + -34x = -18x 38 + -18x = 15 + 34x + -34x Combine like terms: 34x + -34x = 0 38 + -18x = 15 + 0 38 + -18x = 15 Add '-38' to each side of the equation. 38 + -38 + -18x = 15 + -38 Combine like terms: 38 + -38 = 0 0 + -18x = 15 + -38 -18x = 15 + -38 Combine like terms: 15 + -38 = -23 -18x = -23 Divide each side by '-18'. x = 1.277777778 Simplifying x = 1.277777778
| 5t-7=2t-1 | | -91=8+53 | | 27s^4-8s=0 | | 7(7+5x)=-336 | | -7n+15=64 | | m=2x(x+n) | | -5(-5+7x)=-120 | | 14-9x=79-44x | | (-4+3)-2= | | -7(7x-10)=462 | | 7=1-6x | | 4(6x+9)=-12 | | 5x+39-6x=2-9x+5 | | 55-11h=-3h+(-4.2) | | 2t^2-3t-20=0 | | V-55=27+12 | | 4(-3x+9)=36 | | 49-8x=-39-12x | | 3x-12y=96 | | x-5=7x+1 | | 5x-x-4x-10x=15+2-12+4+1 | | -17=2 | | 6(7x+5)=42 | | 9(4x+1)+7(x+4)=6(4x+1)+6(x-1) | | 6(7x+7)=42 | | 8d^2+(6d^2-4d)= | | 6x-12+7x+1=10x+25 | | 9(4x+1)+7(x+4)=6(4x+4)+6(x-1) | | -5w+7=22 | | 2x-4=2(6-7x) | | (5-2x)6-5=50 | | 5x^2-2(x^2+5)=17 |