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Simplifying 0.5(6 + 4x) = x + 2(x + 4) (6 * 0.5 + 4x * 0.5) = x + 2(x + 4) (3 + 2x) = x + 2(x + 4) Reorder the terms: 3 + 2x = x + 2(4 + x) 3 + 2x = x + (4 * 2 + x * 2) 3 + 2x = x + (8 + 2x) Reorder the terms: 3 + 2x = 8 + x + 2x Combine like terms: x + 2x = 3x 3 + 2x = 8 + 3x Solving 3 + 2x = 8 + 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. 3 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 3 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -1x = 8 + 0 3 + -1x = 8 Add '-3' to each side of the equation. 3 + -3 + -1x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 8 + -3 -1x = 8 + -3 Combine like terms: 8 + -3 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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