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Simplifying 2(x + 9) = 5(3x + 1) Reorder the terms: 2(9 + x) = 5(3x + 1) (9 * 2 + x * 2) = 5(3x + 1) (18 + 2x) = 5(3x + 1) Reorder the terms: 18 + 2x = 5(1 + 3x) 18 + 2x = (1 * 5 + 3x * 5) 18 + 2x = (5 + 15x) Solving 18 + 2x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 2x + -15x = 5 + 15x + -15x Combine like terms: 2x + -15x = -13x 18 + -13x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -13x = 5 + 0 18 + -13x = 5 Add '-18' to each side of the equation. 18 + -18 + -13x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 5 + -18 -13x = 5 + -18 Combine like terms: 5 + -18 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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