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Simplifying 4(3x + 1) + -2 = 11(x + -2) + 27 Reorder the terms: 4(1 + 3x) + -2 = 11(x + -2) + 27 (1 * 4 + 3x * 4) + -2 = 11(x + -2) + 27 (4 + 12x) + -2 = 11(x + -2) + 27 Reorder the terms: 4 + -2 + 12x = 11(x + -2) + 27 Combine like terms: 4 + -2 = 2 2 + 12x = 11(x + -2) + 27 Reorder the terms: 2 + 12x = 11(-2 + x) + 27 2 + 12x = (-2 * 11 + x * 11) + 27 2 + 12x = (-22 + 11x) + 27 Reorder the terms: 2 + 12x = -22 + 27 + 11x Combine like terms: -22 + 27 = 5 2 + 12x = 5 + 11x Solving 2 + 12x = 5 + 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. 2 + 12x + -11x = 5 + 11x + -11x Combine like terms: 12x + -11x = 1x 2 + 1x = 5 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + 1x = 5 + 0 2 + 1x = 5 Add '-2' to each side of the equation. 2 + -2 + 1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 5 + -2 1x = 5 + -2 Combine like terms: 5 + -2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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