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Simplifying 26x + -1(14 + 19x) + (25 + 21x) = 29 + -1(-23x + 18) 26x + (14 * -1 + 19x * -1) + (25 + 21x) = 29 + -1(-23x + 18) 26x + (-14 + -19x) + (25 + 21x) = 29 + -1(-23x + 18) Remove parenthesis around (25 + 21x) 26x + -14 + -19x + 25 + 21x = 29 + -1(-23x + 18) Reorder the terms: -14 + 25 + 26x + -19x + 21x = 29 + -1(-23x + 18) Combine like terms: -14 + 25 = 11 11 + 26x + -19x + 21x = 29 + -1(-23x + 18) Combine like terms: 26x + -19x = 7x 11 + 7x + 21x = 29 + -1(-23x + 18) Combine like terms: 7x + 21x = 28x 11 + 28x = 29 + -1(-23x + 18) Reorder the terms: 11 + 28x = 29 + -1(18 + -23x) 11 + 28x = 29 + (18 * -1 + -23x * -1) 11 + 28x = 29 + (-18 + 23x) Combine like terms: 29 + -18 = 11 11 + 28x = 11 + 23x Add '-11' to each side of the equation. 11 + -11 + 28x = 11 + -11 + 23x Combine like terms: 11 + -11 = 0 0 + 28x = 11 + -11 + 23x 28x = 11 + -11 + 23x Combine like terms: 11 + -11 = 0 28x = 0 + 23x 28x = 23x Solving 28x = 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 28x + -23x = 23x + -23x Combine like terms: 28x + -23x = 5x 5x = 23x + -23x Combine like terms: 23x + -23x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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