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Simplifying -5(x + 7) = 7(x + 4) + -5 Reorder the terms: -5(7 + x) = 7(x + 4) + -5 (7 * -5 + x * -5) = 7(x + 4) + -5 (-35 + -5x) = 7(x + 4) + -5 Reorder the terms: -35 + -5x = 7(4 + x) + -5 -35 + -5x = (4 * 7 + x * 7) + -5 -35 + -5x = (28 + 7x) + -5 Reorder the terms: -35 + -5x = 28 + -5 + 7x Combine like terms: 28 + -5 = 23 -35 + -5x = 23 + 7x Solving -35 + -5x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35 + -5x + -7x = 23 + 7x + -7x Combine like terms: -5x + -7x = -12x -35 + -12x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -12x = 23 + 0 -35 + -12x = 23 Add '35' to each side of the equation. -35 + 35 + -12x = 23 + 35 Combine like terms: -35 + 35 = 0 0 + -12x = 23 + 35 -12x = 23 + 35 Combine like terms: 23 + 35 = 58 -12x = 58 Divide each side by '-12'. x = -4.833333333 Simplifying x = -4.833333333
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