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Simplifying 3(6x + -3) + -4(2x + -9) = 3(3x + 3) + -5 Reorder the terms: 3(-3 + 6x) + -4(2x + -9) = 3(3x + 3) + -5 (-3 * 3 + 6x * 3) + -4(2x + -9) = 3(3x + 3) + -5 (-9 + 18x) + -4(2x + -9) = 3(3x + 3) + -5 Reorder the terms: -9 + 18x + -4(-9 + 2x) = 3(3x + 3) + -5 -9 + 18x + (-9 * -4 + 2x * -4) = 3(3x + 3) + -5 -9 + 18x + (36 + -8x) = 3(3x + 3) + -5 Reorder the terms: -9 + 36 + 18x + -8x = 3(3x + 3) + -5 Combine like terms: -9 + 36 = 27 27 + 18x + -8x = 3(3x + 3) + -5 Combine like terms: 18x + -8x = 10x 27 + 10x = 3(3x + 3) + -5 Reorder the terms: 27 + 10x = 3(3 + 3x) + -5 27 + 10x = (3 * 3 + 3x * 3) + -5 27 + 10x = (9 + 9x) + -5 Reorder the terms: 27 + 10x = 9 + -5 + 9x Combine like terms: 9 + -5 = 4 27 + 10x = 4 + 9x Solving 27 + 10x = 4 + 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. 27 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 27 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + 1x = 4 + 0 27 + 1x = 4 Add '-27' to each side of the equation. 27 + -27 + 1x = 4 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 4 + -27 1x = 4 + -27 Combine like terms: 4 + -27 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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