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Simplifying 0.5(3x + 10 + 20) = 4x + -5 Reorder the terms: 0.5(10 + 20 + 3x) = 4x + -5 Combine like terms: 10 + 20 = 30 0.5(30 + 3x) = 4x + -5 (30 * 0.5 + 3x * 0.5) = 4x + -5 (15 + 1.5x) = 4x + -5 Reorder the terms: 15 + 1.5x = -5 + 4x Solving 15 + 1.5x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 1.5x + -4x = -5 + 4x + -4x Combine like terms: 1.5x + -4x = -2.5x 15 + -2.5x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2.5x = -5 + 0 15 + -2.5x = -5 Add '-15' to each side of the equation. 15 + -15 + -2.5x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -2.5x = -5 + -15 -2.5x = -5 + -15 Combine like terms: -5 + -15 = -20 -2.5x = -20 Divide each side by '-2.5'. x = 8 Simplifying x = 8
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