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