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Simplifying 3(3x + -1) + 2(x + 3) = 2(2x + 3) Reorder the terms: 3(-1 + 3x) + 2(x + 3) = 2(2x + 3) (-1 * 3 + 3x * 3) + 2(x + 3) = 2(2x + 3) (-3 + 9x) + 2(x + 3) = 2(2x + 3) Reorder the terms: -3 + 9x + 2(3 + x) = 2(2x + 3) -3 + 9x + (3 * 2 + x * 2) = 2(2x + 3) -3 + 9x + (6 + 2x) = 2(2x + 3) Reorder the terms: -3 + 6 + 9x + 2x = 2(2x + 3) Combine like terms: -3 + 6 = 3 3 + 9x + 2x = 2(2x + 3) Combine like terms: 9x + 2x = 11x 3 + 11x = 2(2x + 3) Reorder the terms: 3 + 11x = 2(3 + 2x) 3 + 11x = (3 * 2 + 2x * 2) 3 + 11x = (6 + 4x) Solving 3 + 11x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 11x + -4x = 6 + 4x + -4x Combine like terms: 11x + -4x = 7x 3 + 7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 7x = 6 + 0 3 + 7x = 6 Add '-3' to each side of the equation. 3 + -3 + 7x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 6 + -3 7x = 6 + -3 Combine like terms: 6 + -3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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