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Simplifying 5(2x + -9) = 3(7 + -4x) Reorder the terms: 5(-9 + 2x) = 3(7 + -4x) (-9 * 5 + 2x * 5) = 3(7 + -4x) (-45 + 10x) = 3(7 + -4x) -45 + 10x = (7 * 3 + -4x * 3) -45 + 10x = (21 + -12x) Solving -45 + 10x = 21 + -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. -45 + 10x + 12x = 21 + -12x + 12x Combine like terms: 10x + 12x = 22x -45 + 22x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 -45 + 22x = 21 + 0 -45 + 22x = 21 Add '45' to each side of the equation. -45 + 45 + 22x = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 22x = 21 + 45 22x = 21 + 45 Combine like terms: 21 + 45 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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