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Simplifying 2(x + 2) = 26 + -3(x + 4) Reorder the terms: 2(2 + x) = 26 + -3(x + 4) (2 * 2 + x * 2) = 26 + -3(x + 4) (4 + 2x) = 26 + -3(x + 4) Reorder the terms: 4 + 2x = 26 + -3(4 + x) 4 + 2x = 26 + (4 * -3 + x * -3) 4 + 2x = 26 + (-12 + -3x) Combine like terms: 26 + -12 = 14 4 + 2x = 14 + -3x Solving 4 + 2x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 2x + 3x = 14 + -3x + 3x Combine like terms: 2x + 3x = 5x 4 + 5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 5x = 14 + 0 4 + 5x = 14 Add '-4' to each side of the equation. 4 + -4 + 5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 14 + -4 5x = 14 + -4 Combine like terms: 14 + -4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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