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Simplifying 5(x + -3) = 2(x + 9) Reorder the terms: 5(-3 + x) = 2(x + 9) (-3 * 5 + x * 5) = 2(x + 9) (-15 + 5x) = 2(x + 9) Reorder the terms: -15 + 5x = 2(9 + x) -15 + 5x = (9 * 2 + x * 2) -15 + 5x = (18 + 2x) Solving -15 + 5x = 18 + 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. -15 + 5x + -2x = 18 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = 18 + 0 -15 + 3x = 18 Add '15' to each side of the equation. -15 + 15 + 3x = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 18 + 15 3x = 18 + 15 Combine like terms: 18 + 15 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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