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Simplifying 3x + -6 = 0.5(2x + -1 + 25) Reorder the terms: -6 + 3x = 0.5(2x + -1 + 25) Reorder the terms: -6 + 3x = 0.5(-1 + 25 + 2x) Combine like terms: -1 + 25 = 24 -6 + 3x = 0.5(24 + 2x) -6 + 3x = (24 * 0.5 + 2x * 0.5) -6 + 3x = (12 + 1x) Solving -6 + 3x = 12 + 1x 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. -6 + 3x + -1x = 12 + 1x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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