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Simplifying 0.5(6x + 12) = 1.5 + -1(x + 2) Reorder the terms: 0.5(12 + 6x) = 1.5 + -1(x + 2) (12 * 0.5 + 6x * 0.5) = 1.5 + -1(x + 2) (6 + 3x) = 1.5 + -1(x + 2) Reorder the terms: 6 + 3x = 1.5 + -1(2 + x) 6 + 3x = 1.5 + (2 * -1 + x * -1) 6 + 3x = 1.5 + (-2 + -1x) Combine like terms: 1.5 + -2 = -0.5 6 + 3x = -0.5 + -1x Solving 6 + 3x = -0.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 3x + x = -0.5 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = -0.5 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = -0.5 + 0 6 + 4x = -0.5 Add '-6' to each side of the equation. 6 + -6 + 4x = -0.5 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -0.5 + -6 4x = -0.5 + -6 Combine like terms: -0.5 + -6 = -6.5 4x = -6.5 Divide each side by '4'. x = -1.625 Simplifying x = -1.625
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