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Simplifying 6(5 + -2x) + -1(x + -4) = 3 + -1(2x + 2) (5 * 6 + -2x * 6) + -1(x + -4) = 3 + -1(2x + 2) (30 + -12x) + -1(x + -4) = 3 + -1(2x + 2) Reorder the terms: 30 + -12x + -1(-4 + x) = 3 + -1(2x + 2) 30 + -12x + (-4 * -1 + x * -1) = 3 + -1(2x + 2) 30 + -12x + (4 + -1x) = 3 + -1(2x + 2) Reorder the terms: 30 + 4 + -12x + -1x = 3 + -1(2x + 2) Combine like terms: 30 + 4 = 34 34 + -12x + -1x = 3 + -1(2x + 2) Combine like terms: -12x + -1x = -13x 34 + -13x = 3 + -1(2x + 2) Reorder the terms: 34 + -13x = 3 + -1(2 + 2x) 34 + -13x = 3 + (2 * -1 + 2x * -1) 34 + -13x = 3 + (-2 + -2x) Combine like terms: 3 + -2 = 1 34 + -13x = 1 + -2x Solving 34 + -13x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 34 + -13x + 2x = 1 + -2x + 2x Combine like terms: -13x + 2x = -11x 34 + -11x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 34 + -11x = 1 + 0 34 + -11x = 1 Add '-34' to each side of the equation. 34 + -34 + -11x = 1 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = 1 + -34 -11x = 1 + -34 Combine like terms: 1 + -34 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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