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Simplifying 6(x + 5) = 9(x + 3) Reorder the terms: 6(5 + x) = 9(x + 3) (5 * 6 + x * 6) = 9(x + 3) (30 + 6x) = 9(x + 3) Reorder the terms: 30 + 6x = 9(3 + x) 30 + 6x = (3 * 9 + x * 9) 30 + 6x = (27 + 9x) Solving 30 + 6x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 6x + -9x = 27 + 9x + -9x Combine like terms: 6x + -9x = -3x 30 + -3x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -3x = 27 + 0 30 + -3x = 27 Add '-30' to each side of the equation. 30 + -30 + -3x = 27 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = 27 + -30 -3x = 27 + -30 Combine like terms: 27 + -30 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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