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Simplifying 7(x + -3) + -5 = 5x + 8 Reorder the terms: 7(-3 + x) + -5 = 5x + 8 (-3 * 7 + x * 7) + -5 = 5x + 8 (-21 + 7x) + -5 = 5x + 8 Reorder the terms: -21 + -5 + 7x = 5x + 8 Combine like terms: -21 + -5 = -26 -26 + 7x = 5x + 8 Reorder the terms: -26 + 7x = 8 + 5x Solving -26 + 7x = 8 + 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. -26 + 7x + -5x = 8 + 5x + -5x Combine like terms: 7x + -5x = 2x -26 + 2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 2x = 8 + 0 -26 + 2x = 8 Add '26' to each side of the equation. -26 + 26 + 2x = 8 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 8 + 26 2x = 8 + 26 Combine like terms: 8 + 26 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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