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Simplifying 5x + (x + 10) = 3x + (5x + -6) Reorder the terms: 5x + (10 + x) = 3x + (5x + -6) Remove parenthesis around (10 + x) 5x + 10 + x = 3x + (5x + -6) Reorder the terms: 10 + 5x + x = 3x + (5x + -6) Combine like terms: 5x + x = 6x 10 + 6x = 3x + (5x + -6) Reorder the terms: 10 + 6x = 3x + (-6 + 5x) Remove parenthesis around (-6 + 5x) 10 + 6x = 3x + -6 + 5x Reorder the terms: 10 + 6x = -6 + 3x + 5x Combine like terms: 3x + 5x = 8x 10 + 6x = -6 + 8x Solving 10 + 6x = -6 + 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. 10 + 6x + -8x = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -6 + 0 10 + -2x = -6 Add '-10' to each side of the equation. 10 + -10 + -2x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -6 + -10 -2x = -6 + -10 Combine like terms: -6 + -10 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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