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Simplifying -3(3x + -5) + 3(2x + 2) = x + -1(5x + -17) Reorder the terms: -3(-5 + 3x) + 3(2x + 2) = x + -1(5x + -17) (-5 * -3 + 3x * -3) + 3(2x + 2) = x + -1(5x + -17) (15 + -9x) + 3(2x + 2) = x + -1(5x + -17) Reorder the terms: 15 + -9x + 3(2 + 2x) = x + -1(5x + -17) 15 + -9x + (2 * 3 + 2x * 3) = x + -1(5x + -17) 15 + -9x + (6 + 6x) = x + -1(5x + -17) Reorder the terms: 15 + 6 + -9x + 6x = x + -1(5x + -17) Combine like terms: 15 + 6 = 21 21 + -9x + 6x = x + -1(5x + -17) Combine like terms: -9x + 6x = -3x 21 + -3x = x + -1(5x + -17) Reorder the terms: 21 + -3x = x + -1(-17 + 5x) 21 + -3x = x + (-17 * -1 + 5x * -1) 21 + -3x = x + (17 + -5x) Reorder the terms: 21 + -3x = 17 + x + -5x Combine like terms: x + -5x = -4x 21 + -3x = 17 + -4x Solving 21 + -3x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + -3x + 4x = 17 + -4x + 4x Combine like terms: -3x + 4x = 1x 21 + 1x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 1x = 17 + 0 21 + 1x = 17 Add '-21' to each side of the equation. 21 + -21 + 1x = 17 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 17 + -21 1x = 17 + -21 Combine like terms: 17 + -21 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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