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Simplifying 3x + -2 + -3(x + 5) = -1(2 + -1x) + -5 Reorder the terms: 3x + -2 + -3(5 + x) = -1(2 + -1x) + -5 3x + -2 + (5 * -3 + x * -3) = -1(2 + -1x) + -5 3x + -2 + (-15 + -3x) = -1(2 + -1x) + -5 Reorder the terms: -2 + -15 + 3x + -3x = -1(2 + -1x) + -5 Combine like terms: -2 + -15 = -17 -17 + 3x + -3x = -1(2 + -1x) + -5 Combine like terms: 3x + -3x = 0 -17 + 0 = -1(2 + -1x) + -5 -17 = -1(2 + -1x) + -5 -17 = (2 * -1 + -1x * -1) + -5 -17 = (-2 + 1x) + -5 Reorder the terms: -17 = -2 + -5 + 1x Combine like terms: -2 + -5 = -7 -17 = -7 + 1x Solving -17 = -7 + 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. -17 + -1x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -1x = -7 + 0 -17 + -1x = -7 Add '17' to each side of the equation. -17 + 17 + -1x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -7 + 17 -1x = -7 + 17 Combine like terms: -7 + 17 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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