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Simplifying 9(5x + -2) + 8(3 + -5x) + -23 = 3(2x + -1) + -7x Reorder the terms: 9(-2 + 5x) + 8(3 + -5x) + -23 = 3(2x + -1) + -7x (-2 * 9 + 5x * 9) + 8(3 + -5x) + -23 = 3(2x + -1) + -7x (-18 + 45x) + 8(3 + -5x) + -23 = 3(2x + -1) + -7x -18 + 45x + (3 * 8 + -5x * 8) + -23 = 3(2x + -1) + -7x -18 + 45x + (24 + -40x) + -23 = 3(2x + -1) + -7x Reorder the terms: -18 + 24 + -23 + 45x + -40x = 3(2x + -1) + -7x Combine like terms: -18 + 24 = 6 6 + -23 + 45x + -40x = 3(2x + -1) + -7x Combine like terms: 6 + -23 = -17 -17 + 45x + -40x = 3(2x + -1) + -7x Combine like terms: 45x + -40x = 5x -17 + 5x = 3(2x + -1) + -7x Reorder the terms: -17 + 5x = 3(-1 + 2x) + -7x -17 + 5x = (-1 * 3 + 2x * 3) + -7x -17 + 5x = (-3 + 6x) + -7x Combine like terms: 6x + -7x = -1x -17 + 5x = -3 + -1x Solving -17 + 5x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -17 + 5x + x = -3 + -1x + x Combine like terms: 5x + x = 6x -17 + 6x = -3 + -1x + x Combine like terms: -1x + x = 0 -17 + 6x = -3 + 0 -17 + 6x = -3 Add '17' to each side of the equation. -17 + 17 + 6x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = -3 + 17 6x = -3 + 17 Combine like terms: -3 + 17 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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