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Simplifying 3(6x + -4) + -4(2x + -18) = 3(3x + 4) + -11 Reorder the terms: 3(-4 + 6x) + -4(2x + -18) = 3(3x + 4) + -11 (-4 * 3 + 6x * 3) + -4(2x + -18) = 3(3x + 4) + -11 (-12 + 18x) + -4(2x + -18) = 3(3x + 4) + -11 Reorder the terms: -12 + 18x + -4(-18 + 2x) = 3(3x + 4) + -11 -12 + 18x + (-18 * -4 + 2x * -4) = 3(3x + 4) + -11 -12 + 18x + (72 + -8x) = 3(3x + 4) + -11 Reorder the terms: -12 + 72 + 18x + -8x = 3(3x + 4) + -11 Combine like terms: -12 + 72 = 60 60 + 18x + -8x = 3(3x + 4) + -11 Combine like terms: 18x + -8x = 10x 60 + 10x = 3(3x + 4) + -11 Reorder the terms: 60 + 10x = 3(4 + 3x) + -11 60 + 10x = (4 * 3 + 3x * 3) + -11 60 + 10x = (12 + 9x) + -11 Reorder the terms: 60 + 10x = 12 + -11 + 9x Combine like terms: 12 + -11 = 1 60 + 10x = 1 + 9x Solving 60 + 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. 60 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x 60 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 60 + 1x = 1 + 0 60 + 1x = 1 Add '-60' to each side of the equation. 60 + -60 + 1x = 1 + -60 Combine like terms: 60 + -60 = 0 0 + 1x = 1 + -60 1x = 1 + -60 Combine like terms: 1 + -60 = -59 1x = -59 Divide each side by '1'. x = -59 Simplifying x = -59
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