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Simplifying 0.5x + -1[x + 3] = x + -5 Reorder the terms: 0.5x + -1[3 + x] = x + -5 0.5x + [3 * -1 + x * -1] = x + -5 0.5x + [-3 + -1x] = x + -5 Reorder the terms: -3 + 0.5x + -1x = x + -5 Combine like terms: 0.5x + -1x = -0.5x -3 + -0.5x = x + -5 Reorder the terms: -3 + -0.5x = -5 + x Solving -3 + -0.5x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + -0.5x + -1x = -5 + x + -1x Combine like terms: -0.5x + -1x = -1.5x -3 + -1.5x = -5 + x + -1x Combine like terms: x + -1x = 0 -3 + -1.5x = -5 + 0 -3 + -1.5x = -5 Add '3' to each side of the equation. -3 + 3 + -1.5x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5x = -5 + 3 -1.5x = -5 + 3 Combine like terms: -5 + 3 = -2 -1.5x = -2 Divide each side by '-1.5'. x = 1.333333333 Simplifying x = 1.333333333
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