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Simplifying 6(3x + -2) + -4(2x + -9) = 3(3x + 4) + -5 Reorder the terms: 6(-2 + 3x) + -4(2x + -9) = 3(3x + 4) + -5 (-2 * 6 + 3x * 6) + -4(2x + -9) = 3(3x + 4) + -5 (-12 + 18x) + -4(2x + -9) = 3(3x + 4) + -5 Reorder the terms: -12 + 18x + -4(-9 + 2x) = 3(3x + 4) + -5 -12 + 18x + (-9 * -4 + 2x * -4) = 3(3x + 4) + -5 -12 + 18x + (36 + -8x) = 3(3x + 4) + -5 Reorder the terms: -12 + 36 + 18x + -8x = 3(3x + 4) + -5 Combine like terms: -12 + 36 = 24 24 + 18x + -8x = 3(3x + 4) + -5 Combine like terms: 18x + -8x = 10x 24 + 10x = 3(3x + 4) + -5 Reorder the terms: 24 + 10x = 3(4 + 3x) + -5 24 + 10x = (4 * 3 + 3x * 3) + -5 24 + 10x = (12 + 9x) + -5 Reorder the terms: 24 + 10x = 12 + -5 + 9x Combine like terms: 12 + -5 = 7 24 + 10x = 7 + 9x Solving 24 + 10x = 7 + 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. 24 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x 24 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 1x = 7 + 0 24 + 1x = 7 Add '-24' to each side of the equation. 24 + -24 + 1x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 7 + -24 1x = 7 + -24 Combine like terms: 7 + -24 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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