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Simplifying x + -0.5(8 + -1x) = x + 3(4 + -1x) + -1x x + (8 * -0.5 + -1x * -0.5) = x + 3(4 + -1x) + -1x x + (-4 + 0.5x) = x + 3(4 + -1x) + -1x Reorder the terms: -4 + x + 0.5x = x + 3(4 + -1x) + -1x Combine like terms: x + 0.5x = 1.5x -4 + 1.5x = x + 3(4 + -1x) + -1x -4 + 1.5x = x + (4 * 3 + -1x * 3) + -1x -4 + 1.5x = x + (12 + -3x) + -1x Reorder the terms: -4 + 1.5x = 12 + x + -3x + -1x Combine like terms: x + -3x = -2x -4 + 1.5x = 12 + -2x + -1x Combine like terms: -2x + -1x = -3x -4 + 1.5x = 12 + -3x Solving -4 + 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. -4 + 1.5x + 3x = 12 + -3x + 3x Combine like terms: 1.5x + 3x = 4.5x -4 + 4.5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 4.5x = 12 + 0 -4 + 4.5x = 12 Add '4' to each side of the equation. -4 + 4 + 4.5x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4.5x = 12 + 4 4.5x = 12 + 4 Combine like terms: 12 + 4 = 16 4.5x = 16 Divide each side by '4.5'. x = 3.555555556 Simplifying x = 3.555555556
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