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Simplifying 3(x + 3) + 6(2x + -1) = 6(2x + 1) Reorder the terms: 3(3 + x) + 6(2x + -1) = 6(2x + 1) (3 * 3 + x * 3) + 6(2x + -1) = 6(2x + 1) (9 + 3x) + 6(2x + -1) = 6(2x + 1) Reorder the terms: 9 + 3x + 6(-1 + 2x) = 6(2x + 1) 9 + 3x + (-1 * 6 + 2x * 6) = 6(2x + 1) 9 + 3x + (-6 + 12x) = 6(2x + 1) Reorder the terms: 9 + -6 + 3x + 12x = 6(2x + 1) Combine like terms: 9 + -6 = 3 3 + 3x + 12x = 6(2x + 1) Combine like terms: 3x + 12x = 15x 3 + 15x = 6(2x + 1) Reorder the terms: 3 + 15x = 6(1 + 2x) 3 + 15x = (1 * 6 + 2x * 6) 3 + 15x = (6 + 12x) Solving 3 + 15x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 15x + -12x = 6 + 12x + -12x Combine like terms: 15x + -12x = 3x 3 + 3x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + 3x = 6 + 0 3 + 3x = 6 Add '-3' to each side of the equation. 3 + -3 + 3x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 6 + -3 3x = 6 + -3 Combine like terms: 6 + -3 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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