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Simplifying x + 5 = 0.5(3x + -1) Reorder the terms: 5 + x = 0.5(3x + -1) Reorder the terms: 5 + x = 0.5(-1 + 3x) 5 + x = (-1 * 0.5 + 3x * 0.5) 5 + x = (-0.5 + 1.5x) Solving 5 + x = -0.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5 + x + -1.5x = -0.5 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 5 + -0.5x = -0.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + -0.5x = -0.5 + 0.0 5 + -0.5x = -0.5 Add '-5' to each side of the equation. 5 + -5 + -0.5x = -0.5 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x = -0.5 + -5 -0.5x = -0.5 + -5 Combine like terms: -0.5 + -5 = -5.5 -0.5x = -5.5 Divide each side by '-0.5'. x = 11 Simplifying x = 11
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