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Simplifying 5(x + -9) = 2(x + 3) Reorder the terms: 5(-9 + x) = 2(x + 3) (-9 * 5 + x * 5) = 2(x + 3) (-45 + 5x) = 2(x + 3) Reorder the terms: -45 + 5x = 2(3 + x) -45 + 5x = (3 * 2 + x * 2) -45 + 5x = (6 + 2x) Solving -45 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -45 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 3x = 6 + 0 -45 + 3x = 6 Add '45' to each side of the equation. -45 + 45 + 3x = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 6 + 45 3x = 6 + 45 Combine like terms: 6 + 45 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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