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Simplifying 0.5x + -8 = -3(0.5x + 2) Reorder the terms: -8 + 0.5x = -3(0.5x + 2) Reorder the terms: -8 + 0.5x = -3(2 + 0.5x) -8 + 0.5x = (2 * -3 + 0.5x * -3) -8 + 0.5x = (-6 + -1.5x) Solving -8 + 0.5x = -6 + -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. -8 + 0.5x + 1.5x = -6 + -1.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x -8 + 2x = -6 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -8 + 2x = -6 + 0.0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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