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Simplifying 0.5(x + 2) = 3x + -5(3 + -1x) + -8 Reorder the terms: 0.5(2 + x) = 3x + -5(3 + -1x) + -8 (2 * 0.5 + x * 0.5) = 3x + -5(3 + -1x) + -8 (1 + 0.5x) = 3x + -5(3 + -1x) + -8 1 + 0.5x = 3x + (3 * -5 + -1x * -5) + -8 1 + 0.5x = 3x + (-15 + 5x) + -8 Reorder the terms: 1 + 0.5x = -15 + -8 + 3x + 5x Combine like terms: -15 + -8 = -23 1 + 0.5x = -23 + 3x + 5x Combine like terms: 3x + 5x = 8x 1 + 0.5x = -23 + 8x Solving 1 + 0.5x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 0.5x + -8x = -23 + 8x + -8x Combine like terms: 0.5x + -8x = -7.5x 1 + -7.5x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -7.5x = -23 + 0 1 + -7.5x = -23 Add '-1' to each side of the equation. 1 + -1 + -7.5x = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -7.5x = -23 + -1 -7.5x = -23 + -1 Combine like terms: -23 + -1 = -24 -7.5x = -24 Divide each side by '-7.5'. x = 3.2 Simplifying x = 3.2
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