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Simplifying -5(x + -8) = -4(x + 7) Reorder the terms: -5(-8 + x) = -4(x + 7) (-8 * -5 + x * -5) = -4(x + 7) (40 + -5x) = -4(x + 7) Reorder the terms: 40 + -5x = -4(7 + x) 40 + -5x = (7 * -4 + x * -4) 40 + -5x = (-28 + -4x) Solving 40 + -5x = -28 + -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. 40 + -5x + 4x = -28 + -4x + 4x Combine like terms: -5x + 4x = -1x 40 + -1x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 40 + -1x = -28 + 0 40 + -1x = -28 Add '-40' to each side of the equation. 40 + -40 + -1x = -28 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = -28 + -40 -1x = -28 + -40 Combine like terms: -28 + -40 = -68 -1x = -68 Divide each side by '-1'. x = 68 Simplifying x = 68
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