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Simplifying 3(4x + 3) = 2x + -1(3 + -1x) + 2 Reorder the terms: 3(3 + 4x) = 2x + -1(3 + -1x) + 2 (3 * 3 + 4x * 3) = 2x + -1(3 + -1x) + 2 (9 + 12x) = 2x + -1(3 + -1x) + 2 9 + 12x = 2x + (3 * -1 + -1x * -1) + 2 9 + 12x = 2x + (-3 + 1x) + 2 Reorder the terms: 9 + 12x = -3 + 2 + 2x + 1x Combine like terms: -3 + 2 = -1 9 + 12x = -1 + 2x + 1x Combine like terms: 2x + 1x = 3x 9 + 12x = -1 + 3x Solving 9 + 12x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 12x + -3x = -1 + 3x + -3x Combine like terms: 12x + -3x = 9x 9 + 9x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 9x = -1 + 0 9 + 9x = -1 Add '-9' to each side of the equation. 9 + -9 + 9x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -1 + -9 9x = -1 + -9 Combine like terms: -1 + -9 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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