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Simplifying -5 + -2(x + 0.5) = 9 + -5x Reorder the terms: -5 + -2(0.5 + x) = 9 + -5x -5 + (0.5 * -2 + x * -2) = 9 + -5x -5 + (-1 + -2x) = 9 + -5x Combine like terms: -5 + -1 = -6 -6 + -2x = 9 + -5x Solving -6 + -2x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -2x + 5x = 9 + -5x + 5x Combine like terms: -2x + 5x = 3x -6 + 3x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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