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Simplifying 3(2x + 6) + -4x = 7x + -1(4 + -6x) Reorder the terms: 3(6 + 2x) + -4x = 7x + -1(4 + -6x) (6 * 3 + 2x * 3) + -4x = 7x + -1(4 + -6x) (18 + 6x) + -4x = 7x + -1(4 + -6x) Combine like terms: 6x + -4x = 2x 18 + 2x = 7x + -1(4 + -6x) 18 + 2x = 7x + (4 * -1 + -6x * -1) 18 + 2x = 7x + (-4 + 6x) Reorder the terms: 18 + 2x = -4 + 7x + 6x Combine like terms: 7x + 6x = 13x 18 + 2x = -4 + 13x Solving 18 + 2x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + 2x + -13x = -4 + 13x + -13x Combine like terms: 2x + -13x = -11x 18 + -11x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -11x = -4 + 0 18 + -11x = -4 Add '-18' to each side of the equation. 18 + -18 + -11x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -4 + -18 -11x = -4 + -18 Combine like terms: -4 + -18 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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