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Simplifying -2(3x + 7) + -3 = 8(2x + -1) + -9 Reorder the terms: -2(7 + 3x) + -3 = 8(2x + -1) + -9 (7 * -2 + 3x * -2) + -3 = 8(2x + -1) + -9 (-14 + -6x) + -3 = 8(2x + -1) + -9 Reorder the terms: -14 + -3 + -6x = 8(2x + -1) + -9 Combine like terms: -14 + -3 = -17 -17 + -6x = 8(2x + -1) + -9 Reorder the terms: -17 + -6x = 8(-1 + 2x) + -9 -17 + -6x = (-1 * 8 + 2x * 8) + -9 -17 + -6x = (-8 + 16x) + -9 Reorder the terms: -17 + -6x = -8 + -9 + 16x Combine like terms: -8 + -9 = -17 -17 + -6x = -17 + 16x Add '17' to each side of the equation. -17 + 17 + -6x = -17 + 17 + 16x Combine like terms: -17 + 17 = 0 0 + -6x = -17 + 17 + 16x -6x = -17 + 17 + 16x Combine like terms: -17 + 17 = 0 -6x = 0 + 16x -6x = 16x Solving -6x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6x + -16x = 16x + -16x Combine like terms: -6x + -16x = -22x -22x = 16x + -16x Combine like terms: 16x + -16x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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