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Simplifying x + 0.5x + -1.5 = -3(x + -4) Reorder the terms: -1.5 + x + 0.5x = -3(x + -4) Combine like terms: x + 0.5x = 1.5x -1.5 + 1.5x = -3(x + -4) Reorder the terms: -1.5 + 1.5x = -3(-4 + x) -1.5 + 1.5x = (-4 * -3 + x * -3) -1.5 + 1.5x = (12 + -3x) Solving -1.5 + 1.5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1.5 + 1.5x + 3x = 12 + -3x + 3x Combine like terms: 1.5x + 3x = 4.5x -1.5 + 4.5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -1.5 + 4.5x = 12 + 0 -1.5 + 4.5x = 12 Add '1.5' to each side of the equation. -1.5 + 1.5 + 4.5x = 12 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 4.5x = 12 + 1.5 4.5x = 12 + 1.5 Combine like terms: 12 + 1.5 = 13.5 4.5x = 13.5 Divide each side by '4.5'. x = 3 Simplifying x = 3
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