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Simplifying (5x + -2 + 3x + 3) = (8x + 1 + -1x + 7) Reorder the terms: (-2 + 3 + 5x + 3x) = (8x + 1 + -1x + 7) Combine like terms: -2 + 3 = 1 (1 + 5x + 3x) = (8x + 1 + -1x + 7) Combine like terms: 5x + 3x = 8x (1 + 8x) = (8x + 1 + -1x + 7) Remove parenthesis around (1 + 8x) 1 + 8x = (8x + 1 + -1x + 7) Reorder the terms: 1 + 8x = (1 + 7 + 8x + -1x) Combine like terms: 1 + 7 = 8 1 + 8x = (8 + 8x + -1x) Combine like terms: 8x + -1x = 7x 1 + 8x = (8 + 7x) Remove parenthesis around (8 + 7x) 1 + 8x = 8 + 7x Solving 1 + 8x = 8 + 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. 1 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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