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Simplifying x = ((x + -3) + (2x + -2)) * 0.5 Reorder the terms: x = ((-3 + x) + (2x + -2)) * 0.5 Remove parenthesis around (-3 + x) x = (-3 + x + (2x + -2)) * 0.5 Reorder the terms: x = (-3 + x + (-2 + 2x)) * 0.5 Remove parenthesis around (-2 + 2x) x = (-3 + x + -2 + 2x) * 0.5 Reorder the terms: x = (-3 + -2 + x + 2x) * 0.5 Combine like terms: -3 + -2 = -5 x = (-5 + x + 2x) * 0.5 Combine like terms: x + 2x = 3x x = (-5 + 3x) * 0.5 Reorder the terms for easier multiplication: x = 0.5(-5 + 3x) x = (-5 * 0.5 + 3x * 0.5) x = (-2.5 + 1.5x) Solving x = -2.5 + 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. x + -1.5x = -2.5 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x -0.5x = -2.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.5x = -2.5 + 0.0 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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