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Simplifying 200 + -1(1.5x) = 180 + -1(0.5x) Remove parenthesis around (1.5x) 200 + -1 * 1.5x = 180 + -1(0.5x) Multiply -1 * 1.5 200 + -1.5x = 180 + -1(0.5x) Remove parenthesis around (0.5x) 200 + -1.5x = 180 + -1 * 0.5x Multiply -1 * 0.5 200 + -1.5x = 180 + -0.5x Solving 200 + -1.5x = 180 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 200 + -1.5x + 0.5x = 180 + -0.5x + 0.5x Combine like terms: -1.5x + 0.5x = -1x 200 + -1x = 180 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 200 + -1x = 180 + 0.0 200 + -1x = 180 Add '-200' to each side of the equation. 200 + -200 + -1x = 180 + -200 Combine like terms: 200 + -200 = 0 0 + -1x = 180 + -200 -1x = 180 + -200 Combine like terms: 180 + -200 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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