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Simplifying 5(3x + -9) = 3(6 + 2x) Reorder the terms: 5(-9 + 3x) = 3(6 + 2x) (-9 * 5 + 3x * 5) = 3(6 + 2x) (-45 + 15x) = 3(6 + 2x) -45 + 15x = (6 * 3 + 2x * 3) -45 + 15x = (18 + 6x) Solving -45 + 15x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + 15x + -6x = 18 + 6x + -6x Combine like terms: 15x + -6x = 9x -45 + 9x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 9x = 18 + 0 -45 + 9x = 18 Add '45' to each side of the equation. -45 + 45 + 9x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = 18 + 45 9x = 18 + 45 Combine like terms: 18 + 45 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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