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Simplifying 3(x + 1) = 2(4x + 2) + 3x Reorder the terms: 3(1 + x) = 2(4x + 2) + 3x (1 * 3 + x * 3) = 2(4x + 2) + 3x (3 + 3x) = 2(4x + 2) + 3x Reorder the terms: 3 + 3x = 2(2 + 4x) + 3x 3 + 3x = (2 * 2 + 4x * 2) + 3x 3 + 3x = (4 + 8x) + 3x Combine like terms: 8x + 3x = 11x 3 + 3x = 4 + 11x Solving 3 + 3x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + 3x + -11x = 4 + 11x + -11x Combine like terms: 3x + -11x = -8x 3 + -8x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -8x = 4 + 0 3 + -8x = 4 Add '-3' to each side of the equation. 3 + -3 + -8x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 4 + -3 -8x = 4 + -3 Combine like terms: 4 + -3 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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