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Simplifying 2(0.5x + 1.5) + -3.5 = 3(0.5x + 0.5) Reorder the terms: 2(1.5 + 0.5x) + -3.5 = 3(0.5x + 0.5) (1.5 * 2 + 0.5x * 2) + -3.5 = 3(0.5x + 0.5) (3 + 1x) + -3.5 = 3(0.5x + 0.5) Reorder the terms: 3 + -3.5 + 1x = 3(0.5x + 0.5) Combine like terms: 3 + -3.5 = -0.5 -0.5 + 1x = 3(0.5x + 0.5) Reorder the terms: -0.5 + 1x = 3(0.5 + 0.5x) -0.5 + 1x = (0.5 * 3 + 0.5x * 3) -0.5 + 1x = (1.5 + 1.5x) Solving -0.5 + 1x = 1.5 + 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. -0.5 + 1x + -1.5x = 1.5 + 1.5x + -1.5x Combine like terms: 1x + -1.5x = -0.5x -0.5 + -0.5x = 1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.5 + -0.5x = 1.5 + 0.0 -0.5 + -0.5x = 1.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.5x = 1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.5x = 1.5 + 0.5 -0.5x = 1.5 + 0.5 Combine like terms: 1.5 + 0.5 = 2 -0.5x = 2 Divide each side by '-0.5'. x = -4 Simplifying x = -4
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