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Simplifying -5 = 0.5[x + 4] + -1.5x Reorder the terms: -5 = 0.5[4 + x] + -1.5x -5 = [4 * 0.5 + x * 0.5] + -1.5x -5 = [2 + 0.5x] + -1.5x Combine like terms: 0.5x + -1.5x = -1x -5 = 2 + -1x Solving -5 = 2 + -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. -5 + x = 2 + -1x + x Combine like terms: -1x + x = 0 -5 + x = 2 + 0 -5 + x = 2 Add '5' to each side of the equation. -5 + 5 + x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + x = 2 + 5 x = 2 + 5 Combine like terms: 2 + 5 = 7 x = 7 Simplifying x = 7
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