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Simplifying 1(x + 4) = 5(x + -2) Reorder the terms: 1(4 + x) = 5(x + -2) (4 * 1 + x * 1) = 5(x + -2) (4 + 1x) = 5(x + -2) Reorder the terms: 4 + 1x = 5(-2 + x) 4 + 1x = (-2 * 5 + x * 5) 4 + 1x = (-10 + 5x) Solving 4 + 1x = -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. 4 + 1x + -5x = -10 + 5x + -5x Combine like terms: 1x + -5x = -4x 4 + -4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4x = -10 + 0 4 + -4x = -10 Add '-4' to each side of the equation. 4 + -4 + -4x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -10 + -4 -4x = -10 + -4 Combine like terms: -10 + -4 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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