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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 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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