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Simplifying 3(x + 2) + -1(x + -2) = -2(x + 3) + 26 Reorder the terms: 3(2 + x) + -1(x + -2) = -2(x + 3) + 26 (2 * 3 + x * 3) + -1(x + -2) = -2(x + 3) + 26 (6 + 3x) + -1(x + -2) = -2(x + 3) + 26 Reorder the terms: 6 + 3x + -1(-2 + x) = -2(x + 3) + 26 6 + 3x + (-2 * -1 + x * -1) = -2(x + 3) + 26 6 + 3x + (2 + -1x) = -2(x + 3) + 26 Reorder the terms: 6 + 2 + 3x + -1x = -2(x + 3) + 26 Combine like terms: 6 + 2 = 8 8 + 3x + -1x = -2(x + 3) + 26 Combine like terms: 3x + -1x = 2x 8 + 2x = -2(x + 3) + 26 Reorder the terms: 8 + 2x = -2(3 + x) + 26 8 + 2x = (3 * -2 + x * -2) + 26 8 + 2x = (-6 + -2x) + 26 Reorder the terms: 8 + 2x = -6 + 26 + -2x Combine like terms: -6 + 26 = 20 8 + 2x = 20 + -2x Solving 8 + 2x = 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. 8 + 2x + 2x = 20 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 20 + 0 8 + 4x = 20 Add '-8' to each side of the equation. 8 + -8 + 4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 20 + -8 4x = 20 + -8 Combine like terms: 20 + -8 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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