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Simplifying 3(x + -5) + 2(x + -1) = 3(x + -3) Reorder the terms: 3(-5 + x) + 2(x + -1) = 3(x + -3) (-5 * 3 + x * 3) + 2(x + -1) = 3(x + -3) (-15 + 3x) + 2(x + -1) = 3(x + -3) Reorder the terms: -15 + 3x + 2(-1 + x) = 3(x + -3) -15 + 3x + (-1 * 2 + x * 2) = 3(x + -3) -15 + 3x + (-2 + 2x) = 3(x + -3) Reorder the terms: -15 + -2 + 3x + 2x = 3(x + -3) Combine like terms: -15 + -2 = -17 -17 + 3x + 2x = 3(x + -3) Combine like terms: 3x + 2x = 5x -17 + 5x = 3(x + -3) Reorder the terms: -17 + 5x = 3(-3 + x) -17 + 5x = (-3 * 3 + x * 3) -17 + 5x = (-9 + 3x) Solving -17 + 5x = -9 + 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. -17 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -17 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = -9 + 0 -17 + 2x = -9 Add '17' to each side of the equation. -17 + 17 + 2x = -9 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -9 + 17 2x = -9 + 17 Combine like terms: -9 + 17 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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