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Simplifying (20 + -2x) * 1.5 = 20 + -1(8 + -1x) Reorder the terms for easier multiplication: 1.5(20 + -2x) = 20 + -1(8 + -1x) (20 * 1.5 + -2x * 1.5) = 20 + -1(8 + -1x) (30 + -3x) = 20 + -1(8 + -1x) 30 + -3x = 20 + (8 * -1 + -1x * -1) 30 + -3x = 20 + (-8 + 1x) Combine like terms: 20 + -8 = 12 30 + -3x = 12 + 1x Solving 30 + -3x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + -3x + -1x = 12 + 1x + -1x Combine like terms: -3x + -1x = -4x 30 + -4x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 30 + -4x = 12 + 0 30 + -4x = 12 Add '-30' to each side of the equation. 30 + -30 + -4x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 12 + -30 -4x = 12 + -30 Combine like terms: 12 + -30 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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