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Simplifying 0.5(x + -1) = 4(x + 2) Reorder the terms: 0.5(-1 + x) = 4(x + 2) (-1 * 0.5 + x * 0.5) = 4(x + 2) (-0.5 + 0.5x) = 4(x + 2) Reorder the terms: -0.5 + 0.5x = 4(2 + x) -0.5 + 0.5x = (2 * 4 + x * 4) -0.5 + 0.5x = (8 + 4x) Solving -0.5 + 0.5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -0.5 + 0.5x + -4x = 8 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x -0.5 + -3.5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -0.5 + -3.5x = 8 + 0 -0.5 + -3.5x = 8 Add '0.5' to each side of the equation. -0.5 + 0.5 + -3.5x = 8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -3.5x = 8 + 0.5 -3.5x = 8 + 0.5 Combine like terms: 8 + 0.5 = 8.5 -3.5x = 8.5 Divide each side by '-3.5'. x = -2.428571429 Simplifying x = -2.428571429
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