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Simplifying (5x + -3x) + (x + 8) = (2x + 1) + (x + x) Combine like terms: 5x + -3x = 2x (2x) + (x + 8) = (2x + 1) + (x + x) (2x) + (x + 8) = (2x + 1) + (x + x) Reorder the terms: (2x) + (8 + x) = (2x + 1) + (x + x) Remove parenthesis around (8 + x) (2x) + 8 + x = (2x + 1) + (x + x) Reorder the terms: 8 + (2x) + x = (2x + 1) + (x + x) Combine like terms: (2x) + x = 3x 8 + 3x = (2x + 1) + (x + x) Reorder the terms: 8 + 3x = (1 + 2x) + (x + x) Remove parenthesis around (1 + 2x) 8 + 3x = 1 + 2x + (x + x) Combine like terms: x + x = 2x 8 + 3x = 1 + 2x + (2x) 8 + 3x = 1 + 2x + (2x) Combine like terms: 2x + (2x) = 4x 8 + 3x = 1 + 4x Solving 8 + 3x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 3x + -4x = 1 + 4x + -4x Combine like terms: 3x + -4x = -1x 8 + -1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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