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Simplifying 2 + -1[1.5x + -3] = 0.5(x + 2) Reorder the terms: 2 + -1[-3 + 1.5x] = 0.5(x + 2) 2 + [-3 * -1 + 1.5x * -1] = 0.5(x + 2) 2 + [3 + -1.5x] = 0.5(x + 2) Combine like terms: 2 + 3 = 5 5 + -1.5x = 0.5(x + 2) Reorder the terms: 5 + -1.5x = 0.5(2 + x) 5 + -1.5x = (2 * 0.5 + x * 0.5) 5 + -1.5x = (1 + 0.5x) Solving 5 + -1.5x = 1 + 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. 5 + -1.5x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -1.5x + -0.5x = -2x 5 + -2x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + -2x = 1 + 0.0 5 + -2x = 1 Add '-5' to each side of the equation. 5 + -5 + -2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 1 + -5 -2x = 1 + -5 Combine like terms: 1 + -5 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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