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Simplifying 3(4x + -7) + -2(5x + -9) = 33 Reorder the terms: 3(-7 + 4x) + -2(5x + -9) = 33 (-7 * 3 + 4x * 3) + -2(5x + -9) = 33 (-21 + 12x) + -2(5x + -9) = 33 Reorder the terms: -21 + 12x + -2(-9 + 5x) = 33 -21 + 12x + (-9 * -2 + 5x * -2) = 33 -21 + 12x + (18 + -10x) = 33 Reorder the terms: -21 + 18 + 12x + -10x = 33 Combine like terms: -21 + 18 = -3 -3 + 12x + -10x = 33 Combine like terms: 12x + -10x = 2x -3 + 2x = 33 Solving -3 + 2x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 33 + 3 2x = 33 + 3 Combine like terms: 33 + 3 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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