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Simplifying x + 1 = 0.5(3x + -2) Reorder the terms: 1 + x = 0.5(3x + -2) Reorder the terms: 1 + x = 0.5(-2 + 3x) 1 + x = (-2 * 0.5 + 3x * 0.5) 1 + x = (-1 + 1.5x) Solving 1 + x = -1 + 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. 1 + x + -1.5x = -1 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 1 + -0.5x = -1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1 + -0.5x = -1 + 0.0 1 + -0.5x = -1 Add '-1' to each side of the equation. 1 + -1 + -0.5x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x = -1 + -1 -0.5x = -1 + -1 Combine like terms: -1 + -1 = -2 -0.5x = -2 Divide each side by '-0.5'. x = 4 Simplifying x = 4
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