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Simplifying -12x + -1(8x + 4) + 10x = -2(x + 1) Reorder the terms: -12x + -1(4 + 8x) + 10x = -2(x + 1) -12x + (4 * -1 + 8x * -1) + 10x = -2(x + 1) -12x + (-4 + -8x) + 10x = -2(x + 1) Reorder the terms: -4 + -12x + -8x + 10x = -2(x + 1) Combine like terms: -12x + -8x = -20x -4 + -20x + 10x = -2(x + 1) Combine like terms: -20x + 10x = -10x -4 + -10x = -2(x + 1) Reorder the terms: -4 + -10x = -2(1 + x) -4 + -10x = (1 * -2 + x * -2) -4 + -10x = (-2 + -2x) Solving -4 + -10x = -2 + -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. -4 + -10x + 2x = -2 + -2x + 2x Combine like terms: -10x + 2x = -8x -4 + -8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -8x = -2 + 0 -4 + -8x = -2 Add '4' to each side of the equation. -4 + 4 + -8x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -2 + 4 -8x = -2 + 4 Combine like terms: -2 + 4 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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