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Simplifying 3(4x + 5) = 2(5x + -6) + 11 Reorder the terms: 3(5 + 4x) = 2(5x + -6) + 11 (5 * 3 + 4x * 3) = 2(5x + -6) + 11 (15 + 12x) = 2(5x + -6) + 11 Reorder the terms: 15 + 12x = 2(-6 + 5x) + 11 15 + 12x = (-6 * 2 + 5x * 2) + 11 15 + 12x = (-12 + 10x) + 11 Reorder the terms: 15 + 12x = -12 + 11 + 10x Combine like terms: -12 + 11 = -1 15 + 12x = -1 + 10x Solving 15 + 12x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 12x + -10x = -1 + 10x + -10x Combine like terms: 12x + -10x = 2x 15 + 2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + 2x = -1 + 0 15 + 2x = -1 Add '-15' to each side of the equation. 15 + -15 + 2x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -1 + -15 2x = -1 + -15 Combine like terms: -1 + -15 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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