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Simplifying 2x + 2 = 0.5(3x + -9) Reorder the terms: 2 + 2x = 0.5(3x + -9) Reorder the terms: 2 + 2x = 0.5(-9 + 3x) 2 + 2x = (-9 * 0.5 + 3x * 0.5) 2 + 2x = (-4.5 + 1.5x) Solving 2 + 2x = -4.5 + 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. 2 + 2x + -1.5x = -4.5 + 1.5x + -1.5x Combine like terms: 2x + -1.5x = 0.5x 2 + 0.5x = -4.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2 + 0.5x = -4.5 + 0.0 2 + 0.5x = -4.5 Add '-2' to each side of the equation. 2 + -2 + 0.5x = -4.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = -4.5 + -2 0.5x = -4.5 + -2 Combine like terms: -4.5 + -2 = -6.5 0.5x = -6.5 Divide each side by '0.5'. x = -13 Simplifying x = -13
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