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Simplifying x + 16 = 0.5(4x + -16 + 32) Reorder the terms: 16 + x = 0.5(4x + -16 + 32) Reorder the terms: 16 + x = 0.5(-16 + 32 + 4x) Combine like terms: -16 + 32 = 16 16 + x = 0.5(16 + 4x) 16 + x = (16 * 0.5 + 4x * 0.5) 16 + x = (8 + 2x) Solving 16 + x = 8 + 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. 16 + x + -2x = 8 + 2x + -2x Combine like terms: x + -2x = -1x 16 + -1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -1x = 8 + 0 16 + -1x = 8 Add '-16' to each side of the equation. 16 + -16 + -1x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 8 + -16 -1x = 8 + -16 Combine like terms: 8 + -16 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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