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Simplifying -7(x + 5) + 5x + 8 = 5x + 7 Reorder the terms: -7(5 + x) + 5x + 8 = 5x + 7 (5 * -7 + x * -7) + 5x + 8 = 5x + 7 (-35 + -7x) + 5x + 8 = 5x + 7 Reorder the terms: -35 + 8 + -7x + 5x = 5x + 7 Combine like terms: -35 + 8 = -27 -27 + -7x + 5x = 5x + 7 Combine like terms: -7x + 5x = -2x -27 + -2x = 5x + 7 Reorder the terms: -27 + -2x = 7 + 5x Solving -27 + -2x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + -2x + -5x = 7 + 5x + -5x Combine like terms: -2x + -5x = -7x -27 + -7x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -7x = 7 + 0 -27 + -7x = 7 Add '27' to each side of the equation. -27 + 27 + -7x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 7 + 27 -7x = 7 + 27 Combine like terms: 7 + 27 = 34 -7x = 34 Divide each side by '-7'. x = -4.857142857 Simplifying x = -4.857142857
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