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Simplifying 3 + -2(0.5 + -1x) = 1.2(x + -0.5) 3 + (0.5 * -2 + -1x * -2) = 1.2(x + -0.5) 3 + (-1 + 2x) = 1.2(x + -0.5) Combine like terms: 3 + -1 = 2 2 + 2x = 1.2(x + -0.5) Reorder the terms: 2 + 2x = 1.2(-0.5 + x) 2 + 2x = (-0.5 * 1.2 + x * 1.2) 2 + 2x = (-0.6 + 1.2x) Solving 2 + 2x = -0.6 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 2 + 2x + -1.2x = -0.6 + 1.2x + -1.2x Combine like terms: 2x + -1.2x = 0.8x 2 + 0.8x = -0.6 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 2 + 0.8x = -0.6 + 0.0 2 + 0.8x = -0.6 Add '-2' to each side of the equation. 2 + -2 + 0.8x = -0.6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.8x = -0.6 + -2 0.8x = -0.6 + -2 Combine like terms: -0.6 + -2 = -2.6 0.8x = -2.6 Divide each side by '0.8'. x = -3.25 Simplifying x = -3.25
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