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Simplifying 26 = 2(2x + -6) + 2(x + 3) Reorder the terms: 26 = 2(-6 + 2x) + 2(x + 3) 26 = (-6 * 2 + 2x * 2) + 2(x + 3) 26 = (-12 + 4x) + 2(x + 3) Reorder the terms: 26 = -12 + 4x + 2(3 + x) 26 = -12 + 4x + (3 * 2 + x * 2) 26 = -12 + 4x + (6 + 2x) Reorder the terms: 26 = -12 + 6 + 4x + 2x Combine like terms: -12 + 6 = -6 26 = -6 + 4x + 2x Combine like terms: 4x + 2x = 6x 26 = -6 + 6x Solving 26 = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 26 + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + -6x = -6 + 0 26 + -6x = -6 Add '-26' to each side of the equation. 26 + -26 + -6x = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = -6 + -26 -6x = -6 + -26 Combine like terms: -6 + -26 = -32 -6x = -32 Divide each side by '-6'. x = 5.333333333 Simplifying x = 5.333333333
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