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Simplifying 4 + 3(x + -4) = 9 + -8(x + -7) Reorder the terms: 4 + 3(-4 + x) = 9 + -8(x + -7) 4 + (-4 * 3 + x * 3) = 9 + -8(x + -7) 4 + (-12 + 3x) = 9 + -8(x + -7) Combine like terms: 4 + -12 = -8 -8 + 3x = 9 + -8(x + -7) Reorder the terms: -8 + 3x = 9 + -8(-7 + x) -8 + 3x = 9 + (-7 * -8 + x * -8) -8 + 3x = 9 + (56 + -8x) Combine like terms: 9 + 56 = 65 -8 + 3x = 65 + -8x Solving -8 + 3x = 65 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 3x + 8x = 65 + -8x + 8x Combine like terms: 3x + 8x = 11x -8 + 11x = 65 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 11x = 65 + 0 -8 + 11x = 65 Add '8' to each side of the equation. -8 + 8 + 11x = 65 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 65 + 8 11x = 65 + 8 Combine like terms: 65 + 8 = 73 11x = 73 Divide each side by '11'. x = 6.636363636 Simplifying x = 6.636363636
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