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Simplifying 2(6 + -1x) + -11 = 5(3x + 7) (6 * 2 + -1x * 2) + -11 = 5(3x + 7) (12 + -2x) + -11 = 5(3x + 7) Reorder the terms: 12 + -11 + -2x = 5(3x + 7) Combine like terms: 12 + -11 = 1 1 + -2x = 5(3x + 7) Reorder the terms: 1 + -2x = 5(7 + 3x) 1 + -2x = (7 * 5 + 3x * 5) 1 + -2x = (35 + 15x) Solving 1 + -2x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1 + -2x + -15x = 35 + 15x + -15x Combine like terms: -2x + -15x = -17x 1 + -17x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -17x = 35 + 0 1 + -17x = 35 Add '-1' to each side of the equation. 1 + -1 + -17x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + -17x = 35 + -1 -17x = 35 + -1 Combine like terms: 35 + -1 = 34 -17x = 34 Divide each side by '-17'. x = -2 Simplifying x = -2
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