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Simplifying -2(4x + 1) + 3x + -7 = 2(x + 2) + 7x + -1 Reorder the terms: -2(1 + 4x) + 3x + -7 = 2(x + 2) + 7x + -1 (1 * -2 + 4x * -2) + 3x + -7 = 2(x + 2) + 7x + -1 (-2 + -8x) + 3x + -7 = 2(x + 2) + 7x + -1 Reorder the terms: -2 + -7 + -8x + 3x = 2(x + 2) + 7x + -1 Combine like terms: -2 + -7 = -9 -9 + -8x + 3x = 2(x + 2) + 7x + -1 Combine like terms: -8x + 3x = -5x -9 + -5x = 2(x + 2) + 7x + -1 Reorder the terms: -9 + -5x = 2(2 + x) + 7x + -1 -9 + -5x = (2 * 2 + x * 2) + 7x + -1 -9 + -5x = (4 + 2x) + 7x + -1 Reorder the terms: -9 + -5x = 4 + -1 + 2x + 7x Combine like terms: 4 + -1 = 3 -9 + -5x = 3 + 2x + 7x Combine like terms: 2x + 7x = 9x -9 + -5x = 3 + 9x Solving -9 + -5x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + -5x + -9x = 3 + 9x + -9x Combine like terms: -5x + -9x = -14x -9 + -14x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -14x = 3 + 0 -9 + -14x = 3 Add '9' to each side of the equation. -9 + 9 + -14x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 3 + 9 -14x = 3 + 9 Combine like terms: 3 + 9 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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