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Simplifying 3(2x + -3) + -2(7 + -9x) = 2x + 4(3 + 6x) + -1 Reorder the terms: 3(-3 + 2x) + -2(7 + -9x) = 2x + 4(3 + 6x) + -1 (-3 * 3 + 2x * 3) + -2(7 + -9x) = 2x + 4(3 + 6x) + -1 (-9 + 6x) + -2(7 + -9x) = 2x + 4(3 + 6x) + -1 -9 + 6x + (7 * -2 + -9x * -2) = 2x + 4(3 + 6x) + -1 -9 + 6x + (-14 + 18x) = 2x + 4(3 + 6x) + -1 Reorder the terms: -9 + -14 + 6x + 18x = 2x + 4(3 + 6x) + -1 Combine like terms: -9 + -14 = -23 -23 + 6x + 18x = 2x + 4(3 + 6x) + -1 Combine like terms: 6x + 18x = 24x -23 + 24x = 2x + 4(3 + 6x) + -1 -23 + 24x = 2x + (3 * 4 + 6x * 4) + -1 -23 + 24x = 2x + (12 + 24x) + -1 Reorder the terms: -23 + 24x = 12 + -1 + 2x + 24x Combine like terms: 12 + -1 = 11 -23 + 24x = 11 + 2x + 24x Combine like terms: 2x + 24x = 26x -23 + 24x = 11 + 26x Solving -23 + 24x = 11 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -23 + 24x + -26x = 11 + 26x + -26x Combine like terms: 24x + -26x = -2x -23 + -2x = 11 + 26x + -26x Combine like terms: 26x + -26x = 0 -23 + -2x = 11 + 0 -23 + -2x = 11 Add '23' to each side of the equation. -23 + 23 + -2x = 11 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 11 + 23 -2x = 11 + 23 Combine like terms: 11 + 23 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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