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Simplifying 6 + -1(3x + -4) = 2(x + 5) Reorder the terms: 6 + -1(-4 + 3x) = 2(x + 5) 6 + (-4 * -1 + 3x * -1) = 2(x + 5) 6 + (4 + -3x) = 2(x + 5) Combine like terms: 6 + 4 = 10 10 + -3x = 2(x + 5) Reorder the terms: 10 + -3x = 2(5 + x) 10 + -3x = (5 * 2 + x * 2) 10 + -3x = (10 + 2x) Add '-10' to each side of the equation. 10 + -10 + -3x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 0 + -3x = 10 + -10 + 2x -3x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 -3x = 0 + 2x -3x = 2x Solving -3x = 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. -3x + -2x = 2x + -2x Combine like terms: -3x + -2x = -5x -5x = 2x + -2x Combine like terms: 2x + -2x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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