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Simplifying 2x + 6 = 11 + 3(4x + 5) Reorder the terms: 6 + 2x = 11 + 3(4x + 5) Reorder the terms: 6 + 2x = 11 + 3(5 + 4x) 6 + 2x = 11 + (5 * 3 + 4x * 3) 6 + 2x = 11 + (15 + 12x) Combine like terms: 11 + 15 = 26 6 + 2x = 26 + 12x Solving 6 + 2x = 26 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 2x + -12x = 26 + 12x + -12x Combine like terms: 2x + -12x = -10x 6 + -10x = 26 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -10x = 26 + 0 6 + -10x = 26 Add '-6' to each side of the equation. 6 + -6 + -10x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 26 + -6 -10x = 26 + -6 Combine like terms: 26 + -6 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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