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Simplifying 5(4x + 3) = 4(7x + -5) + 3(9 + -2x) Reorder the terms: 5(3 + 4x) = 4(7x + -5) + 3(9 + -2x) (3 * 5 + 4x * 5) = 4(7x + -5) + 3(9 + -2x) (15 + 20x) = 4(7x + -5) + 3(9 + -2x) Reorder the terms: 15 + 20x = 4(-5 + 7x) + 3(9 + -2x) 15 + 20x = (-5 * 4 + 7x * 4) + 3(9 + -2x) 15 + 20x = (-20 + 28x) + 3(9 + -2x) 15 + 20x = -20 + 28x + (9 * 3 + -2x * 3) 15 + 20x = -20 + 28x + (27 + -6x) Reorder the terms: 15 + 20x = -20 + 27 + 28x + -6x Combine like terms: -20 + 27 = 7 15 + 20x = 7 + 28x + -6x Combine like terms: 28x + -6x = 22x 15 + 20x = 7 + 22x Solving 15 + 20x = 7 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 15 + 20x + -22x = 7 + 22x + -22x Combine like terms: 20x + -22x = -2x 15 + -2x = 7 + 22x + -22x Combine like terms: 22x + -22x = 0 15 + -2x = 7 + 0 15 + -2x = 7 Add '-15' to each side of the equation. 15 + -15 + -2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 7 + -15 -2x = 7 + -15 Combine like terms: 7 + -15 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
| 7(y+5)=49 | | (10-2x)2=9 | | x+3x+(x+29)=137 | | 5x+1=-19 | | 2.2q-5.8-4.4q=-3.2q-1.8 | | z-46=-41 | | 25-(x+3)2=0 | | 178-4x=32x+22 | | x-46=-41 | | 5(2x-3)=35 | | x+2x+(x+29)=137 | | 25x=156.25x^2 | | y^2+ay+by+ab=0 | | 6-7x=96-28x | | x^3+3x^2-2x+4=0 | | 7-2x=7x-2 | | -12x+30x+60-20+30=100 | | -4y+5=-5y+1 | | -4(x-5)-3(2x+4)=0 | | (x+1)2-16=0 | | 91-2x=16x+15 | | x+2x+(x+11)=175 | | -11-5x=10x+15 | | -6x+12x-13+60=100 | | 5x+30=120 | | 3(2v-4)= | | 189-6x=30x+17 | | 5w^2+32w+35=0 | | 5-8x=85-36x | | (3x+9)2=0 | | -(6y+2)-(-5y-7)=1 | | 5x+3y=11 |