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Simplifying 3(6 + -4x + -3x) + 6(3x + 5) = 12 Combine like terms: -4x + -3x = -7x 3(6 + -7x) + 6(3x + 5) = 12 (6 * 3 + -7x * 3) + 6(3x + 5) = 12 (18 + -21x) + 6(3x + 5) = 12 Reorder the terms: 18 + -21x + 6(5 + 3x) = 12 18 + -21x + (5 * 6 + 3x * 6) = 12 18 + -21x + (30 + 18x) = 12 Reorder the terms: 18 + 30 + -21x + 18x = 12 Combine like terms: 18 + 30 = 48 48 + -21x + 18x = 12 Combine like terms: -21x + 18x = -3x 48 + -3x = 12 Solving 48 + -3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -3x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 12 + -48 -3x = 12 + -48 Combine like terms: 12 + -48 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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