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Simplifying 3(2x + -5) + 5(4 + -1x) = 2(x + 2) Reorder the terms: 3(-5 + 2x) + 5(4 + -1x) = 2(x + 2) (-5 * 3 + 2x * 3) + 5(4 + -1x) = 2(x + 2) (-15 + 6x) + 5(4 + -1x) = 2(x + 2) -15 + 6x + (4 * 5 + -1x * 5) = 2(x + 2) -15 + 6x + (20 + -5x) = 2(x + 2) Reorder the terms: -15 + 20 + 6x + -5x = 2(x + 2) Combine like terms: -15 + 20 = 5 5 + 6x + -5x = 2(x + 2) Combine like terms: 6x + -5x = 1x 5 + 1x = 2(x + 2) Reorder the terms: 5 + 1x = 2(2 + x) 5 + 1x = (2 * 2 + x * 2) 5 + 1x = (4 + 2x) Solving 5 + 1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x 5 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -1x = 4 + 0 5 + -1x = 4 Add '-5' to each side of the equation. 5 + -5 + -1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 4 + -5 -1x = 4 + -5 Combine like terms: 4 + -5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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