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Simplifying 4(3x + -9) = 3(x + 18) Reorder the terms: 4(-9 + 3x) = 3(x + 18) (-9 * 4 + 3x * 4) = 3(x + 18) (-36 + 12x) = 3(x + 18) Reorder the terms: -36 + 12x = 3(18 + x) -36 + 12x = (18 * 3 + x * 3) -36 + 12x = (54 + 3x) Solving -36 + 12x = 54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + 12x + -3x = 54 + 3x + -3x Combine like terms: 12x + -3x = 9x -36 + 9x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 9x = 54 + 0 -36 + 9x = 54 Add '36' to each side of the equation. -36 + 36 + 9x = 54 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 54 + 36 9x = 54 + 36 Combine like terms: 54 + 36 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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