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Simplifying 7(2x + 1) + -1(3x + -5) = 5(x + -6) Reorder the terms: 7(1 + 2x) + -1(3x + -5) = 5(x + -6) (1 * 7 + 2x * 7) + -1(3x + -5) = 5(x + -6) (7 + 14x) + -1(3x + -5) = 5(x + -6) Reorder the terms: 7 + 14x + -1(-5 + 3x) = 5(x + -6) 7 + 14x + (-5 * -1 + 3x * -1) = 5(x + -6) 7 + 14x + (5 + -3x) = 5(x + -6) Reorder the terms: 7 + 5 + 14x + -3x = 5(x + -6) Combine like terms: 7 + 5 = 12 12 + 14x + -3x = 5(x + -6) Combine like terms: 14x + -3x = 11x 12 + 11x = 5(x + -6) Reorder the terms: 12 + 11x = 5(-6 + x) 12 + 11x = (-6 * 5 + x * 5) 12 + 11x = (-30 + 5x) Solving 12 + 11x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 11x + -5x = -30 + 5x + -5x Combine like terms: 11x + -5x = 6x 12 + 6x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 6x = -30 + 0 12 + 6x = -30 Add '-12' to each side of the equation. 12 + -12 + 6x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -30 + -12 6x = -30 + -12 Combine like terms: -30 + -12 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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