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Simplifying 3x + -1 = 2(x + 2.5) Reorder the terms: -1 + 3x = 2(x + 2.5) Reorder the terms: -1 + 3x = 2(2.5 + x) -1 + 3x = (2.5 * 2 + x * 2) -1 + 3x = (5 + 2x) Solving -1 + 3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 5 + 0 -1 + 1x = 5 Add '1' to each side of the equation. -1 + 1 + 1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 5 + 1 1x = 5 + 1 Combine like terms: 5 + 1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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