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Simplifying 8(0.5x + -2) = 3(5 + x) Reorder the terms: 8(-2 + 0.5x) = 3(5 + x) (-2 * 8 + 0.5x * 8) = 3(5 + x) (-16 + 4x) = 3(5 + x) -16 + 4x = (5 * 3 + x * 3) -16 + 4x = (15 + 3x) Solving -16 + 4x = 15 + 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 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x -16 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 1x = 15 + 0 -16 + 1x = 15 Add '16' to each side of the equation. -16 + 16 + 1x = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 15 + 16 1x = 15 + 16 Combine like terms: 15 + 16 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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