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Simplifying -7(x + 1) = -2(2x + -4) + 9x Reorder the terms: -7(1 + x) = -2(2x + -4) + 9x (1 * -7 + x * -7) = -2(2x + -4) + 9x (-7 + -7x) = -2(2x + -4) + 9x Reorder the terms: -7 + -7x = -2(-4 + 2x) + 9x -7 + -7x = (-4 * -2 + 2x * -2) + 9x -7 + -7x = (8 + -4x) + 9x Combine like terms: -4x + 9x = 5x -7 + -7x = 8 + 5x Solving -7 + -7x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -7x + -5x = 8 + 5x + -5x Combine like terms: -7x + -5x = -12x -7 + -12x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -12x = 8 + 0 -7 + -12x = 8 Add '7' to each side of the equation. -7 + 7 + -12x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 8 + 7 -12x = 8 + 7 Combine like terms: 8 + 7 = 15 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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