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Simplifying 5(x + -6) = 3(3 + x) Reorder the terms: 5(-6 + x) = 3(3 + x) (-6 * 5 + x * 5) = 3(3 + x) (-30 + 5x) = 3(3 + x) -30 + 5x = (3 * 3 + x * 3) -30 + 5x = (9 + 3x) Solving -30 + 5x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 5x + -3x = 9 + 3x + -3x Combine like terms: 5x + -3x = 2x -30 + 2x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 2x = 9 + 0 -30 + 2x = 9 Add '30' to each side of the equation. -30 + 30 + 2x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 9 + 30 2x = 9 + 30 Combine like terms: 9 + 30 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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