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Simplifying 2(x + -1) = 3(x + 15) Reorder the terms: 2(-1 + x) = 3(x + 15) (-1 * 2 + x * 2) = 3(x + 15) (-2 + 2x) = 3(x + 15) Reorder the terms: -2 + 2x = 3(15 + x) -2 + 2x = (15 * 3 + x * 3) -2 + 2x = (45 + 3x) Solving -2 + 2x = 45 + 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 = 45 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = 45 + 0 -2 + -1x = 45 Add '2' to each side of the equation. -2 + 2 + -1x = 45 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 45 + 2 -1x = 45 + 2 Combine like terms: 45 + 2 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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