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Simplifying -4x + -5(x + 1) = -2(4x + 7) Reorder the terms: -4x + -5(1 + x) = -2(4x + 7) -4x + (1 * -5 + x * -5) = -2(4x + 7) -4x + (-5 + -5x) = -2(4x + 7) Reorder the terms: -5 + -4x + -5x = -2(4x + 7) Combine like terms: -4x + -5x = -9x -5 + -9x = -2(4x + 7) Reorder the terms: -5 + -9x = -2(7 + 4x) -5 + -9x = (7 * -2 + 4x * -2) -5 + -9x = (-14 + -8x) Solving -5 + -9x = -14 + -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. -5 + -9x + 8x = -14 + -8x + 8x Combine like terms: -9x + 8x = -1x -5 + -1x = -14 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -1x = -14 + 0 -5 + -1x = -14 Add '5' to each side of the equation. -5 + 5 + -1x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -14 + 5 -1x = -14 + 5 Combine like terms: -14 + 5 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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