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Simplifying 0.5(x + -6) = 3(1.5x + 1) Reorder the terms: 0.5(-6 + x) = 3(1.5x + 1) (-6 * 0.5 + x * 0.5) = 3(1.5x + 1) (-3 + 0.5x) = 3(1.5x + 1) Reorder the terms: -3 + 0.5x = 3(1 + 1.5x) -3 + 0.5x = (1 * 3 + 1.5x * 3) -3 + 0.5x = (3 + 4.5x) Solving -3 + 0.5x = 3 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -3 + 0.5x + -4.5x = 3 + 4.5x + -4.5x Combine like terms: 0.5x + -4.5x = -4x -3 + -4x = 3 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -3 + -4x = 3 + 0.0 -3 + -4x = 3 Add '3' to each side of the equation. -3 + 3 + -4x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 3 + 3 -4x = 3 + 3 Combine like terms: 3 + 3 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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