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Simplifying 6(3x + -3) + 3(18 + -3x) + -4(2x + 5) = -1 Reorder the terms: 6(-3 + 3x) + 3(18 + -3x) + -4(2x + 5) = -1 (-3 * 6 + 3x * 6) + 3(18 + -3x) + -4(2x + 5) = -1 (-18 + 18x) + 3(18 + -3x) + -4(2x + 5) = -1 -18 + 18x + (18 * 3 + -3x * 3) + -4(2x + 5) = -1 -18 + 18x + (54 + -9x) + -4(2x + 5) = -1 Reorder the terms: -18 + 18x + 54 + -9x + -4(5 + 2x) = -1 -18 + 18x + 54 + -9x + (5 * -4 + 2x * -4) = -1 -18 + 18x + 54 + -9x + (-20 + -8x) = -1 Reorder the terms: -18 + 54 + -20 + 18x + -9x + -8x = -1 Combine like terms: -18 + 54 = 36 36 + -20 + 18x + -9x + -8x = -1 Combine like terms: 36 + -20 = 16 16 + 18x + -9x + -8x = -1 Combine like terms: 18x + -9x = 9x 16 + 9x + -8x = -1 Combine like terms: 9x + -8x = 1x 16 + 1x = -1 Solving 16 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = -1 + -16 1x = -1 + -16 Combine like terms: -1 + -16 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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