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Simplifying 6 + -5(2 + -1x) = -3(-1x + 5) + 1 6 + (2 * -5 + -1x * -5) = -3(-1x + 5) + 1 6 + (-10 + 5x) = -3(-1x + 5) + 1 Combine like terms: 6 + -10 = -4 -4 + 5x = -3(-1x + 5) + 1 Reorder the terms: -4 + 5x = -3(5 + -1x) + 1 -4 + 5x = (5 * -3 + -1x * -3) + 1 -4 + 5x = (-15 + 3x) + 1 Reorder the terms: -4 + 5x = -15 + 1 + 3x Combine like terms: -15 + 1 = -14 -4 + 5x = -14 + 3x Solving -4 + 5x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 5x + -3x = -14 + 3x + -3x Combine like terms: 5x + -3x = 2x -4 + 2x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 2x = -14 + 0 -4 + 2x = -14 Add '4' to each side of the equation. -4 + 4 + 2x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -14 + 4 2x = -14 + 4 Combine like terms: -14 + 4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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