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Simplifying 0.5x + 3 = -1(x + 1) Reorder the terms: 3 + 0.5x = -1(x + 1) Reorder the terms: 3 + 0.5x = -1(1 + x) 3 + 0.5x = (1 * -1 + x * -1) 3 + 0.5x = (-1 + -1x) Solving 3 + 0.5x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 0.5x + x = -1 + -1x + x Combine like terms: 0.5x + x = 1.5x 3 + 1.5x = -1 + -1x + x Combine like terms: -1x + x = 0 3 + 1.5x = -1 + 0 3 + 1.5x = -1 Add '-3' to each side of the equation. 3 + -3 + 1.5x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -1 + -3 1.5x = -1 + -3 Combine like terms: -1 + -3 = -4 1.5x = -4 Divide each side by '1.5'. x = -2.666666667 Simplifying x = -2.666666667
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