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Simplifying 3(2x + 7) + 2(2 + -5x) + (4x + 1) = x Reorder the terms: 3(7 + 2x) + 2(2 + -5x) + (4x + 1) = x (7 * 3 + 2x * 3) + 2(2 + -5x) + (4x + 1) = x (21 + 6x) + 2(2 + -5x) + (4x + 1) = x 21 + 6x + (2 * 2 + -5x * 2) + (4x + 1) = x 21 + 6x + (4 + -10x) + (4x + 1) = x Reorder the terms: 21 + 6x + 4 + -10x + (1 + 4x) = x Remove parenthesis around (1 + 4x) 21 + 6x + 4 + -10x + 1 + 4x = x Reorder the terms: 21 + 4 + 1 + 6x + -10x + 4x = x Combine like terms: 21 + 4 = 25 25 + 1 + 6x + -10x + 4x = x Combine like terms: 25 + 1 = 26 26 + 6x + -10x + 4x = x Combine like terms: 6x + -10x = -4x 26 + -4x + 4x = x Combine like terms: -4x + 4x = 0 26 + 0 = x 26 = x Solving 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. 26 + -1x = x + -1x Combine like terms: x + -1x = 0 26 + -1x = 0 Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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