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