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Simplifying 4(0.5x + 4) = 3x + 6 Reorder the terms: 4(4 + 0.5x) = 3x + 6 (4 * 4 + 0.5x * 4) = 3x + 6 (16 + 2x) = 3x + 6 Reorder the terms: 16 + 2x = 6 + 3x Solving 16 + 2x = 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. 16 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 16 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -1x = 6 + 0 16 + -1x = 6 Add '-16' to each side of the equation. 16 + -16 + -1x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 6 + -16 -1x = 6 + -16 Combine like terms: 6 + -16 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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