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Simplifying 2(x + 3) + 3(x + 9) = 7x + 3x + 3 Reorder the terms: 2(3 + x) + 3(x + 9) = 7x + 3x + 3 (3 * 2 + x * 2) + 3(x + 9) = 7x + 3x + 3 (6 + 2x) + 3(x + 9) = 7x + 3x + 3 Reorder the terms: 6 + 2x + 3(9 + x) = 7x + 3x + 3 6 + 2x + (9 * 3 + x * 3) = 7x + 3x + 3 6 + 2x + (27 + 3x) = 7x + 3x + 3 Reorder the terms: 6 + 27 + 2x + 3x = 7x + 3x + 3 Combine like terms: 6 + 27 = 33 33 + 2x + 3x = 7x + 3x + 3 Combine like terms: 2x + 3x = 5x 33 + 5x = 7x + 3x + 3 Reorder the terms: 33 + 5x = 3 + 7x + 3x Combine like terms: 7x + 3x = 10x 33 + 5x = 3 + 10x Solving 33 + 5x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 33 + 5x + -10x = 3 + 10x + -10x Combine like terms: 5x + -10x = -5x 33 + -5x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 33 + -5x = 3 + 0 33 + -5x = 3 Add '-33' to each side of the equation. 33 + -33 + -5x = 3 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = 3 + -33 -5x = 3 + -33 Combine like terms: 3 + -33 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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