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Simplifying 6(2x + 3) + -1(x + -4) = x + 2 Reorder the terms: 6(3 + 2x) + -1(x + -4) = x + 2 (3 * 6 + 2x * 6) + -1(x + -4) = x + 2 (18 + 12x) + -1(x + -4) = x + 2 Reorder the terms: 18 + 12x + -1(-4 + x) = x + 2 18 + 12x + (-4 * -1 + x * -1) = x + 2 18 + 12x + (4 + -1x) = x + 2 Reorder the terms: 18 + 4 + 12x + -1x = x + 2 Combine like terms: 18 + 4 = 22 22 + 12x + -1x = x + 2 Combine like terms: 12x + -1x = 11x 22 + 11x = x + 2 Reorder the terms: 22 + 11x = 2 + x Solving 22 + 11x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 22 + 11x + -1x = 2 + x + -1x Combine like terms: 11x + -1x = 10x 22 + 10x = 2 + x + -1x Combine like terms: x + -1x = 0 22 + 10x = 2 + 0 22 + 10x = 2 Add '-22' to each side of the equation. 22 + -22 + 10x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 2 + -22 10x = 2 + -22 Combine like terms: 2 + -22 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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