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