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Simplifying 6(x + 4) + -2(x + -1) = 2x + 20 Reorder the terms: 6(4 + x) + -2(x + -1) = 2x + 20 (4 * 6 + x * 6) + -2(x + -1) = 2x + 20 (24 + 6x) + -2(x + -1) = 2x + 20 Reorder the terms: 24 + 6x + -2(-1 + x) = 2x + 20 24 + 6x + (-1 * -2 + x * -2) = 2x + 20 24 + 6x + (2 + -2x) = 2x + 20 Reorder the terms: 24 + 2 + 6x + -2x = 2x + 20 Combine like terms: 24 + 2 = 26 26 + 6x + -2x = 2x + 20 Combine like terms: 6x + -2x = 4x 26 + 4x = 2x + 20 Reorder the terms: 26 + 4x = 20 + 2x Solving 26 + 4x = 20 + 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. 26 + 4x + -2x = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x 26 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 2x = 20 + 0 26 + 2x = 20 Add '-26' to each side of the equation. 26 + -26 + 2x = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 20 + -26 2x = 20 + -26 Combine like terms: 20 + -26 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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