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Simplifying -5(x + -7) = -4(x + -2) Reorder the terms: -5(-7 + x) = -4(x + -2) (-7 * -5 + x * -5) = -4(x + -2) (35 + -5x) = -4(x + -2) Reorder the terms: 35 + -5x = -4(-2 + x) 35 + -5x = (-2 * -4 + x * -4) 35 + -5x = (8 + -4x) Solving 35 + -5x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 35 + -5x + 4x = 8 + -4x + 4x Combine like terms: -5x + 4x = -1x 35 + -1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 35 + -1x = 8 + 0 35 + -1x = 8 Add '-35' to each side of the equation. 35 + -35 + -1x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 8 + -35 -1x = 8 + -35 Combine like terms: 8 + -35 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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