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Simplifying 2x + 5 = 3(4x + 1) + -11x Reorder the terms: 5 + 2x = 3(4x + 1) + -11x Reorder the terms: 5 + 2x = 3(1 + 4x) + -11x 5 + 2x = (1 * 3 + 4x * 3) + -11x 5 + 2x = (3 + 12x) + -11x Combine like terms: 12x + -11x = 1x 5 + 2x = 3 + 1x Solving 5 + 2x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 3 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 3 + 0 5 + 1x = 3 Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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