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Simplifying 7(5x + -7) + -1x = 3x + -7 Reorder the terms: 7(-7 + 5x) + -1x = 3x + -7 (-7 * 7 + 5x * 7) + -1x = 3x + -7 (-49 + 35x) + -1x = 3x + -7 Combine like terms: 35x + -1x = 34x -49 + 34x = 3x + -7 Reorder the terms: -49 + 34x = -7 + 3x Solving -49 + 34x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -49 + 34x + -3x = -7 + 3x + -3x Combine like terms: 34x + -3x = 31x -49 + 31x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 31x = -7 + 0 -49 + 31x = -7 Add '49' to each side of the equation. -49 + 49 + 31x = -7 + 49 Combine like terms: -49 + 49 = 0 0 + 31x = -7 + 49 31x = -7 + 49 Combine like terms: -7 + 49 = 42 31x = 42 Divide each side by '31'. x = 1.35483871 Simplifying x = 1.35483871
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