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Simplifying 3x + -1(6 + 5x) = 2(5 + x) 3x + (6 * -1 + 5x * -1) = 2(5 + x) 3x + (-6 + -5x) = 2(5 + x) Reorder the terms: -6 + 3x + -5x = 2(5 + x) Combine like terms: 3x + -5x = -2x -6 + -2x = 2(5 + x) -6 + -2x = (5 * 2 + x * 2) -6 + -2x = (10 + 2x) Solving -6 + -2x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x + -2x = 10 + 2x + -2x Combine like terms: -2x + -2x = -4x -6 + -4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -4x = 10 + 0 -6 + -4x = 10 Add '6' to each side of the equation. -6 + 6 + -4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 10 + 6 -4x = 10 + 6 Combine like terms: 10 + 6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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