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Simplifying 0.5(3x + 5) = 4x + 20 Reorder the terms: 0.5(5 + 3x) = 4x + 20 (5 * 0.5 + 3x * 0.5) = 4x + 20 (2.5 + 1.5x) = 4x + 20 Reorder the terms: 2.5 + 1.5x = 20 + 4x Solving 2.5 + 1.5x = 20 + 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. 2.5 + 1.5x + -4x = 20 + 4x + -4x Combine like terms: 1.5x + -4x = -2.5x 2.5 + -2.5x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 2.5 + -2.5x = 20 + 0 2.5 + -2.5x = 20 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2.5x = 20 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.5x = 20 + -2.5 -2.5x = 20 + -2.5 Combine like terms: 20 + -2.5 = 17.5 -2.5x = 17.5 Divide each side by '-2.5'. x = -7 Simplifying x = -7
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