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Simplifying 9(2x + 4) = 9x + 3(2x + 1) Reorder the terms: 9(4 + 2x) = 9x + 3(2x + 1) (4 * 9 + 2x * 9) = 9x + 3(2x + 1) (36 + 18x) = 9x + 3(2x + 1) Reorder the terms: 36 + 18x = 9x + 3(1 + 2x) 36 + 18x = 9x + (1 * 3 + 2x * 3) 36 + 18x = 9x + (3 + 6x) Reorder the terms: 36 + 18x = 3 + 9x + 6x Combine like terms: 9x + 6x = 15x 36 + 18x = 3 + 15x Solving 36 + 18x = 3 + 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. 36 + 18x + -15x = 3 + 15x + -15x Combine like terms: 18x + -15x = 3x 36 + 3x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + 3x = 3 + 0 36 + 3x = 3 Add '-36' to each side of the equation. 36 + -36 + 3x = 3 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 3 + -36 3x = 3 + -36 Combine like terms: 3 + -36 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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