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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 = -17 -17 + 1 + 6x + 10x + 4x = x Combine like terms: -17 + 1 = -16 -16 + 6x + 10x + 4x = x Combine like terms: 6x + 10x = 16x -16 + 16x + 4x = x Combine like terms: 16x + 4x = 20x -16 + 20x = x Solving -16 + 20x = 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. -16 + 20x + -1x = x + -1x Combine like terms: 20x + -1x = 19x -16 + 19x = x + -1x Combine like terms: x + -1x = 0 -16 + 19x = 0 Add '16' to each side of the equation. -16 + 16 + 19x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 19x = 0 + 16 19x = 0 + 16 Combine like terms: 0 + 16 = 16 19x = 16 Divide each side by '19'. x = 0.8421052632 Simplifying x = 0.8421052632
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