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Simplifying 0.5(2x + 4) = 3x + -6 Reorder the terms: 0.5(4 + 2x) = 3x + -6 (4 * 0.5 + 2x * 0.5) = 3x + -6 (2 + 1x) = 3x + -6 Reorder the terms: 2 + 1x = -6 + 3x Solving 2 + 1x = -6 + 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. 2 + 1x + -3x = -6 + 3x + -3x Combine like terms: 1x + -3x = -2x 2 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = -6 + 0 2 + -2x = -6 Add '-2' to each side of the equation. 2 + -2 + -2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -6 + -2 -2x = -6 + -2 Combine like terms: -6 + -2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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