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Simplifying 2 + 3(2 + -1x) = 0.5x + -2(x + 2) 2 + (2 * 3 + -1x * 3) = 0.5x + -2(x + 2) 2 + (6 + -3x) = 0.5x + -2(x + 2) Combine like terms: 2 + 6 = 8 8 + -3x = 0.5x + -2(x + 2) Reorder the terms: 8 + -3x = 0.5x + -2(2 + x) 8 + -3x = 0.5x + (2 * -2 + x * -2) 8 + -3x = 0.5x + (-4 + -2x) Reorder the terms: 8 + -3x = -4 + 0.5x + -2x Combine like terms: 0.5x + -2x = -1.5x 8 + -3x = -4 + -1.5x Solving 8 + -3x = -4 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 8 + -3x + 1.5x = -4 + -1.5x + 1.5x Combine like terms: -3x + 1.5x = -1.5x 8 + -1.5x = -4 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 8 + -1.5x = -4 + 0.0 8 + -1.5x = -4 Add '-8' to each side of the equation. 8 + -8 + -1.5x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -1.5x = -4 + -8 -1.5x = -4 + -8 Combine like terms: -4 + -8 = -12 -1.5x = -12 Divide each side by '-1.5'. x = 8 Simplifying x = 8
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