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Simplifying 5(3x + -9) = 2(6x + 9) Reorder the terms: 5(-9 + 3x) = 2(6x + 9) (-9 * 5 + 3x * 5) = 2(6x + 9) (-45 + 15x) = 2(6x + 9) Reorder the terms: -45 + 15x = 2(9 + 6x) -45 + 15x = (9 * 2 + 6x * 2) -45 + 15x = (18 + 12x) Solving -45 + 15x = 18 + 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 + 15x + -12x = 18 + 12x + -12x Combine like terms: 15x + -12x = 3x -45 + 3x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + 3x = 18 + 0 -45 + 3x = 18 Add '45' to each side of the equation. -45 + 45 + 3x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 18 + 45 3x = 18 + 45 Combine like terms: 18 + 45 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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