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Simplifying 9(3 + -2x) + -12x = 4(3x + -13) (3 * 9 + -2x * 9) + -12x = 4(3x + -13) (27 + -18x) + -12x = 4(3x + -13) Combine like terms: -18x + -12x = -30x 27 + -30x = 4(3x + -13) Reorder the terms: 27 + -30x = 4(-13 + 3x) 27 + -30x = (-13 * 4 + 3x * 4) 27 + -30x = (-52 + 12x) Solving 27 + -30x = -52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + -30x + -12x = -52 + 12x + -12x Combine like terms: -30x + -12x = -42x 27 + -42x = -52 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -42x = -52 + 0 27 + -42x = -52 Add '-27' to each side of the equation. 27 + -27 + -42x = -52 + -27 Combine like terms: 27 + -27 = 0 0 + -42x = -52 + -27 -42x = -52 + -27 Combine like terms: -52 + -27 = -79 -42x = -79 Divide each side by '-42'. x = 1.880952381 Simplifying x = 1.880952381
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