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Simplifying 4(x + -2) = 5(x + 2) Reorder the terms: 4(-2 + x) = 5(x + 2) (-2 * 4 + x * 4) = 5(x + 2) (-8 + 4x) = 5(x + 2) Reorder the terms: -8 + 4x = 5(2 + x) -8 + 4x = (2 * 5 + x * 5) -8 + 4x = (10 + 5x) Solving -8 + 4x = 10 + 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. -8 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x -8 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -1x = 10 + 0 -8 + -1x = 10 Add '8' to each side of the equation. -8 + 8 + -1x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 10 + 8 -1x = 10 + 8 Combine like terms: 10 + 8 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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