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Simplifying 6(3x + -5) + 4(14 + -2x) = 3(3x + 5) + -14 Reorder the terms: 6(-5 + 3x) + 4(14 + -2x) = 3(3x + 5) + -14 (-5 * 6 + 3x * 6) + 4(14 + -2x) = 3(3x + 5) + -14 (-30 + 18x) + 4(14 + -2x) = 3(3x + 5) + -14 -30 + 18x + (14 * 4 + -2x * 4) = 3(3x + 5) + -14 -30 + 18x + (56 + -8x) = 3(3x + 5) + -14 Reorder the terms: -30 + 56 + 18x + -8x = 3(3x + 5) + -14 Combine like terms: -30 + 56 = 26 26 + 18x + -8x = 3(3x + 5) + -14 Combine like terms: 18x + -8x = 10x 26 + 10x = 3(3x + 5) + -14 Reorder the terms: 26 + 10x = 3(5 + 3x) + -14 26 + 10x = (5 * 3 + 3x * 3) + -14 26 + 10x = (15 + 9x) + -14 Reorder the terms: 26 + 10x = 15 + -14 + 9x Combine like terms: 15 + -14 = 1 26 + 10x = 1 + 9x Solving 26 + 10x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 26 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 26 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + 1x = 1 + 0 26 + 1x = 1 Add '-26' to each side of the equation. 26 + -26 + 1x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 1 + -26 1x = 1 + -26 Combine like terms: 1 + -26 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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