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Simplifying 3(4x + 11) + 2(6x + -1) = 13 Reorder the terms: 3(11 + 4x) + 2(6x + -1) = 13 (11 * 3 + 4x * 3) + 2(6x + -1) = 13 (33 + 12x) + 2(6x + -1) = 13 Reorder the terms: 33 + 12x + 2(-1 + 6x) = 13 33 + 12x + (-1 * 2 + 6x * 2) = 13 33 + 12x + (-2 + 12x) = 13 Reorder the terms: 33 + -2 + 12x + 12x = 13 Combine like terms: 33 + -2 = 31 31 + 12x + 12x = 13 Combine like terms: 12x + 12x = 24x 31 + 24x = 13 Solving 31 + 24x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 24x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + 24x = 13 + -31 24x = 13 + -31 Combine like terms: 13 + -31 = -18 24x = -18 Divide each side by '24'. x = -0.75 Simplifying x = -0.75
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