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Simplifying 3(3x + -1) + 2(x + 3) = 4(2x + 3) Reorder the terms: 3(-1 + 3x) + 2(x + 3) = 4(2x + 3) (-1 * 3 + 3x * 3) + 2(x + 3) = 4(2x + 3) (-3 + 9x) + 2(x + 3) = 4(2x + 3) Reorder the terms: -3 + 9x + 2(3 + x) = 4(2x + 3) -3 + 9x + (3 * 2 + x * 2) = 4(2x + 3) -3 + 9x + (6 + 2x) = 4(2x + 3) Reorder the terms: -3 + 6 + 9x + 2x = 4(2x + 3) Combine like terms: -3 + 6 = 3 3 + 9x + 2x = 4(2x + 3) Combine like terms: 9x + 2x = 11x 3 + 11x = 4(2x + 3) Reorder the terms: 3 + 11x = 4(3 + 2x) 3 + 11x = (3 * 4 + 2x * 4) 3 + 11x = (12 + 8x) Solving 3 + 11x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 11x + -8x = 12 + 8x + -8x Combine like terms: 11x + -8x = 3x 3 + 3x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 3x = 12 + 0 3 + 3x = 12 Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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