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Simplifying (5x + 5) + 3 + -1x = (4x + 6) + 2x + -2 Reorder the terms: (5 + 5x) + 3 + -1x = (4x + 6) + 2x + -2 Remove parenthesis around (5 + 5x) 5 + 5x + 3 + -1x = (4x + 6) + 2x + -2 Reorder the terms: 5 + 3 + 5x + -1x = (4x + 6) + 2x + -2 Combine like terms: 5 + 3 = 8 8 + 5x + -1x = (4x + 6) + 2x + -2 Combine like terms: 5x + -1x = 4x 8 + 4x = (4x + 6) + 2x + -2 Reorder the terms: 8 + 4x = (6 + 4x) + 2x + -2 Remove parenthesis around (6 + 4x) 8 + 4x = 6 + 4x + 2x + -2 Reorder the terms: 8 + 4x = 6 + -2 + 4x + 2x Combine like terms: 6 + -2 = 4 8 + 4x = 4 + 4x + 2x Combine like terms: 4x + 2x = 6x 8 + 4x = 4 + 6x Solving 8 + 4x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x = 4 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = 4 + 0 8 + -2x = 4 Add '-8' to each side of the equation. 8 + -8 + -2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 4 + -8 -2x = 4 + -8 Combine like terms: 4 + -8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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