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Simplifying 0.5(3x + 15) = 4x Reorder the terms: 0.5(15 + 3x) = 4x (15 * 0.5 + 3x * 0.5) = 4x (7.5 + 1.5x) = 4x Solving 7.5 + 1.5x = 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. 7.5 + 1.5x + -4x = 4x + -4x Combine like terms: 1.5x + -4x = -2.5x 7.5 + -2.5x = 4x + -4x Combine like terms: 4x + -4x = 0 7.5 + -2.5x = 0 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -2.5x = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2.5x = 0 + -7.5 -2.5x = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -2.5x = -7.5 Divide each side by '-2.5'. x = 3 Simplifying x = 3
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