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Simplifying 7(3 + -3x + -3x) + 9(4x + 3) = 18 Combine like terms: -3x + -3x = -6x 7(3 + -6x) + 9(4x + 3) = 18 (3 * 7 + -6x * 7) + 9(4x + 3) = 18 (21 + -42x) + 9(4x + 3) = 18 Reorder the terms: 21 + -42x + 9(3 + 4x) = 18 21 + -42x + (3 * 9 + 4x * 9) = 18 21 + -42x + (27 + 36x) = 18 Reorder the terms: 21 + 27 + -42x + 36x = 18 Combine like terms: 21 + 27 = 48 48 + -42x + 36x = 18 Combine like terms: -42x + 36x = -6x 48 + -6x = 18 Solving 48 + -6x = 18 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 + -6x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = 18 + -48 -6x = 18 + -48 Combine like terms: 18 + -48 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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