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Simplifying 2x + -23 = 2(5 + -0.5x) Reorder the terms: -23 + 2x = 2(5 + -0.5x) -23 + 2x = (5 * 2 + -0.5x * 2) -23 + 2x = (10 + -1x) Solving -23 + 2x = 10 + -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. -23 + 2x + x = 10 + -1x + x Combine like terms: 2x + x = 3x -23 + 3x = 10 + -1x + x Combine like terms: -1x + x = 0 -23 + 3x = 10 + 0 -23 + 3x = 10 Add '23' to each side of the equation. -23 + 23 + 3x = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 10 + 23 3x = 10 + 23 Combine like terms: 10 + 23 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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