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Simplifying x = 0.5(x + -4) + -1(5 + x) Reorder the terms: x = 0.5(-4 + x) + -1(5 + x) x = (-4 * 0.5 + x * 0.5) + -1(5 + x) x = (-2 + 0.5x) + -1(5 + x) x = -2 + 0.5x + (5 * -1 + x * -1) x = -2 + 0.5x + (-5 + -1x) Reorder the terms: x = -2 + -5 + 0.5x + -1x Combine like terms: -2 + -5 = -7 x = -7 + 0.5x + -1x Combine like terms: 0.5x + -1x = -0.5x x = -7 + -0.5x Solving x = -7 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. x + 0.5x = -7 + -0.5x + 0.5x Combine like terms: x + 0.5x = 1.5x 1.5x = -7 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1.5x = -7 + 0.0 1.5x = -7 Divide each side by '1.5'. x = -4.666666667 Simplifying x = -4.666666667
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