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Simplifying 0.5x + 3 = 2(x + -2.5) Reorder the terms: 3 + 0.5x = 2(x + -2.5) Reorder the terms: 3 + 0.5x = 2(-2.5 + x) 3 + 0.5x = (-2.5 * 2 + x * 2) 3 + 0.5x = (-5 + 2x) Solving 3 + 0.5x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 0.5x + -2x = -5 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x 3 + -1.5x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1.5x = -5 + 0 3 + -1.5x = -5 Add '-3' to each side of the equation. 3 + -3 + -1.5x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5x = -5 + -3 -1.5x = -5 + -3 Combine like terms: -5 + -3 = -8 -1.5x = -8 Divide each side by '-1.5'. x = 5.333333333 Simplifying x = 5.333333333
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