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Simplifying 4(x + 3) + -1(2x + 1) = 7(x + 3) Reorder the terms: 4(3 + x) + -1(2x + 1) = 7(x + 3) (3 * 4 + x * 4) + -1(2x + 1) = 7(x + 3) (12 + 4x) + -1(2x + 1) = 7(x + 3) Reorder the terms: 12 + 4x + -1(1 + 2x) = 7(x + 3) 12 + 4x + (1 * -1 + 2x * -1) = 7(x + 3) 12 + 4x + (-1 + -2x) = 7(x + 3) Reorder the terms: 12 + -1 + 4x + -2x = 7(x + 3) Combine like terms: 12 + -1 = 11 11 + 4x + -2x = 7(x + 3) Combine like terms: 4x + -2x = 2x 11 + 2x = 7(x + 3) Reorder the terms: 11 + 2x = 7(3 + x) 11 + 2x = (3 * 7 + x * 7) 11 + 2x = (21 + 7x) Solving 11 + 2x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 2x + -7x = 21 + 7x + -7x Combine like terms: 2x + -7x = -5x 11 + -5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -5x = 21 + 0 11 + -5x = 21 Add '-11' to each side of the equation. 11 + -11 + -5x = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 21 + -11 -5x = 21 + -11 Combine like terms: 21 + -11 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
| 6c^2-11c-27= | | (7)(-5)= | | 4x^4+9=4x^4+24x | | 16v^2+40v+25=0 | | 16+x+3=1 | | h+2h=3+5-h | | x+0.7=-0.2x | | 5y^7-5y^5+4y^3-4y=0 | | -3x-108=10x+39 | | 50x=500 | | 36s^2-121f^2=0 | | 5x+3(2.4-x)=37.5+x | | y+12=0 | | 10=9+k | | 2k^3+3k^2+6k+9=0 | | 3c+c=64 | | 9r^2+12rp+4p^2=0 | | 2k^3+3k^2+6k+9= | | 10=9k | | 6x^2+5x=3+7x | | 15+2n=5+4n | | 80=16x+4 | | 500y=1000 | | (7x+4y)-(3x-6y)= | | -5x-(-62x)=-20 | | 2x-11.5*x=-30 | | -1.6x+0.6=-1 | | 12x^2+3x=2-2x | | 18.4=3x+6.4 | | 32x+36+2x=96 | | 0=98x^3-50xy^2 | | 7.47=3.14 |