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Simplifying 6x + -2(5x + 4) = -1(x + -1) Reorder the terms: 6x + -2(4 + 5x) = -1(x + -1) 6x + (4 * -2 + 5x * -2) = -1(x + -1) 6x + (-8 + -10x) = -1(x + -1) Reorder the terms: -8 + 6x + -10x = -1(x + -1) Combine like terms: 6x + -10x = -4x -8 + -4x = -1(x + -1) Reorder the terms: -8 + -4x = -1(-1 + x) -8 + -4x = (-1 * -1 + x * -1) -8 + -4x = (1 + -1x) Solving -8 + -4x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + -4x + x = 1 + -1x + x Combine like terms: -4x + x = -3x -8 + -3x = 1 + -1x + x Combine like terms: -1x + x = 0 -8 + -3x = 1 + 0 -8 + -3x = 1 Add '8' to each side of the equation. -8 + 8 + -3x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 1 + 8 -3x = 1 + 8 Combine like terms: 1 + 8 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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