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Simplifying 2(x + 4) + 1 + -5x = (3 + -1 + -1x) + 7 Reorder the terms: 2(4 + x) + 1 + -5x = (3 + -1 + -1x) + 7 (4 * 2 + x * 2) + 1 + -5x = (3 + -1 + -1x) + 7 (8 + 2x) + 1 + -5x = (3 + -1 + -1x) + 7 Reorder the terms: 8 + 1 + 2x + -5x = (3 + -1 + -1x) + 7 Combine like terms: 8 + 1 = 9 9 + 2x + -5x = (3 + -1 + -1x) + 7 Combine like terms: 2x + -5x = -3x 9 + -3x = (3 + -1 + -1x) + 7 Combine like terms: 3 + -1 = 2 9 + -3x = (2 + -1x) + 7 Remove parenthesis around (2 + -1x) 9 + -3x = 2 + -1x + 7 Reorder the terms: 9 + -3x = 2 + 7 + -1x Combine like terms: 2 + 7 = 9 9 + -3x = 9 + -1x Add '-9' to each side of the equation. 9 + -9 + -3x = 9 + -9 + -1x Combine like terms: 9 + -9 = 0 0 + -3x = 9 + -9 + -1x -3x = 9 + -9 + -1x Combine like terms: 9 + -9 = 0 -3x = 0 + -1x -3x = -1x Solving -3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -1x + x Combine like terms: -3x + x = -2x -2x = -1x + x Combine like terms: -1x + x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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