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Simplifying 6(3x + -5) + 3(18 + -3x) + -4(2 + 3) = -7 Reorder the terms: 6(-5 + 3x) + 3(18 + -3x) + -4(2 + 3) = -7 (-5 * 6 + 3x * 6) + 3(18 + -3x) + -4(2 + 3) = -7 (-30 + 18x) + 3(18 + -3x) + -4(2 + 3) = -7 -30 + 18x + (18 * 3 + -3x * 3) + -4(2 + 3) = -7 -30 + 18x + (54 + -9x) + -4(2 + 3) = -7 Combine like terms: 2 + 3 = 5 -30 + 18x + 54 + -9x + -4(5) = -7 Multiply -4 * 5 -30 + 18x + 54 + -9x + -20 = -7 Reorder the terms: -30 + 54 + -20 + 18x + -9x = -7 Combine like terms: -30 + 54 = 24 24 + -20 + 18x + -9x = -7 Combine like terms: 24 + -20 = 4 4 + 18x + -9x = -7 Combine like terms: 18x + -9x = 9x 4 + 9x = -7 Solving 4 + 9x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -7 + -4 9x = -7 + -4 Combine like terms: -7 + -4 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222
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