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Simplifying 0.5(3x + 91) = x + 3 Reorder the terms: 0.5(91 + 3x) = x + 3 (91 * 0.5 + 3x * 0.5) = x + 3 (45.5 + 1.5x) = x + 3 Reorder the terms: 45.5 + 1.5x = 3 + x Solving 45.5 + 1.5x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45.5 + 1.5x + -1x = 3 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 45.5 + 0.5x = 3 + x + -1x Combine like terms: x + -1x = 0 45.5 + 0.5x = 3 + 0 45.5 + 0.5x = 3 Add '-45.5' to each side of the equation. 45.5 + -45.5 + 0.5x = 3 + -45.5 Combine like terms: 45.5 + -45.5 = 0.0 0.0 + 0.5x = 3 + -45.5 0.5x = 3 + -45.5 Combine like terms: 3 + -45.5 = -42.5 0.5x = -42.5 Divide each side by '0.5'. x = -85 Simplifying x = -85
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