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Simplifying 2(2x + 0.5) = 3(x + -0.667) Reorder the terms: 2(0.5 + 2x) = 3(x + -0.667) (0.5 * 2 + 2x * 2) = 3(x + -0.667) (1 + 4x) = 3(x + -0.667) Reorder the terms: 1 + 4x = 3(-0.667 + x) 1 + 4x = (-0.667 * 3 + x * 3) 1 + 4x = (-2.001 + 3x) Solving 1 + 4x = -2.001 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 4x + -3x = -2.001 + 3x + -3x Combine like terms: 4x + -3x = 1x 1 + 1x = -2.001 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 1x = -2.001 + 0 1 + 1x = -2.001 Add '-1' to each side of the equation. 1 + -1 + 1x = -2.001 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -2.001 + -1 1x = -2.001 + -1 Combine like terms: -2.001 + -1 = -3.001 1x = -3.001 Divide each side by '1'. x = -3.001 Simplifying x = -3.001
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