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Simplifying x + 2 = 0.5(3x + -8) Reorder the terms: 2 + x = 0.5(3x + -8) Reorder the terms: 2 + x = 0.5(-8 + 3x) 2 + x = (-8 * 0.5 + 3x * 0.5) 2 + x = (-4 + 1.5x) Solving 2 + x = -4 + 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 + x + -1.5x = -4 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 2 + -0.5x = -4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2 + -0.5x = -4 + 0.0 2 + -0.5x = -4 Add '-2' to each side of the equation. 2 + -2 + -0.5x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = -4 + -2 -0.5x = -4 + -2 Combine like terms: -4 + -2 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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