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Simplifying 3(x + -2) + 1 = 2(x + 5) Reorder the terms: 3(-2 + x) + 1 = 2(x + 5) (-2 * 3 + x * 3) + 1 = 2(x + 5) (-6 + 3x) + 1 = 2(x + 5) Reorder the terms: -6 + 1 + 3x = 2(x + 5) Combine like terms: -6 + 1 = -5 -5 + 3x = 2(x + 5) Reorder the terms: -5 + 3x = 2(5 + x) -5 + 3x = (5 * 2 + x * 2) -5 + 3x = (10 + 2x) Solving -5 + 3x = 10 + 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. -5 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = 10 + 0 -5 + 1x = 10 Add '5' to each side of the equation. -5 + 5 + 1x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 10 + 5 1x = 10 + 5 Combine like terms: 10 + 5 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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