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Simplifying 8x + -5(x + -2) = x + 26 Reorder the terms: 8x + -5(-2 + x) = x + 26 8x + (-2 * -5 + x * -5) = x + 26 8x + (10 + -5x) = x + 26 Reorder the terms: 10 + 8x + -5x = x + 26 Combine like terms: 8x + -5x = 3x 10 + 3x = x + 26 Reorder the terms: 10 + 3x = 26 + x Solving 10 + 3x = 26 + 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. 10 + 3x + -1x = 26 + x + -1x Combine like terms: 3x + -1x = 2x 10 + 2x = 26 + x + -1x Combine like terms: x + -1x = 0 10 + 2x = 26 + 0 10 + 2x = 26 Add '-10' to each side of the equation. 10 + -10 + 2x = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 26 + -10 2x = 26 + -10 Combine like terms: 26 + -10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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