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Simplifying 3x + -1(x + 2) = 3(x + 5) Reorder the terms: 3x + -1(2 + x) = 3(x + 5) 3x + (2 * -1 + x * -1) = 3(x + 5) 3x + (-2 + -1x) = 3(x + 5) Reorder the terms: -2 + 3x + -1x = 3(x + 5) Combine like terms: 3x + -1x = 2x -2 + 2x = 3(x + 5) Reorder the terms: -2 + 2x = 3(5 + x) -2 + 2x = (5 * 3 + x * 3) -2 + 2x = (15 + 3x) Solving -2 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = 15 + 0 -2 + -1x = 15 Add '2' to each side of the equation. -2 + 2 + -1x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 15 + 2 -1x = 15 + 2 Combine like terms: 15 + 2 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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