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Simplifying -4x + -1(10 + 8x) = (8 + -16x) + -1(14 + -6x) -4x + (10 * -1 + 8x * -1) = (8 + -16x) + -1(14 + -6x) -4x + (-10 + -8x) = (8 + -16x) + -1(14 + -6x) Reorder the terms: -10 + -4x + -8x = (8 + -16x) + -1(14 + -6x) Combine like terms: -4x + -8x = -12x -10 + -12x = (8 + -16x) + -1(14 + -6x) Remove parenthesis around (8 + -16x) -10 + -12x = 8 + -16x + -1(14 + -6x) -10 + -12x = 8 + -16x + (14 * -1 + -6x * -1) -10 + -12x = 8 + -16x + (-14 + 6x) Reorder the terms: -10 + -12x = 8 + -14 + -16x + 6x Combine like terms: 8 + -14 = -6 -10 + -12x = -6 + -16x + 6x Combine like terms: -16x + 6x = -10x -10 + -12x = -6 + -10x Solving -10 + -12x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + -12x + 10x = -6 + -10x + 10x Combine like terms: -12x + 10x = -2x -10 + -2x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + -2x = -6 + 0 -10 + -2x = -6 Add '10' to each side of the equation. -10 + 10 + -2x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -6 + 10 -2x = -6 + 10 Combine like terms: -6 + 10 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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