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Simplifying -4(5 + -4x) + -1(1 + -1x) = 2(x + -4) (5 * -4 + -4x * -4) + -1(1 + -1x) = 2(x + -4) (-20 + 16x) + -1(1 + -1x) = 2(x + -4) -20 + 16x + (1 * -1 + -1x * -1) = 2(x + -4) -20 + 16x + (-1 + 1x) = 2(x + -4) Reorder the terms: -20 + -1 + 16x + 1x = 2(x + -4) Combine like terms: -20 + -1 = -21 -21 + 16x + 1x = 2(x + -4) Combine like terms: 16x + 1x = 17x -21 + 17x = 2(x + -4) Reorder the terms: -21 + 17x = 2(-4 + x) -21 + 17x = (-4 * 2 + x * 2) -21 + 17x = (-8 + 2x) Solving -21 + 17x = -8 + 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. -21 + 17x + -2x = -8 + 2x + -2x Combine like terms: 17x + -2x = 15x -21 + 15x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 15x = -8 + 0 -21 + 15x = -8 Add '21' to each side of the equation. -21 + 21 + 15x = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 15x = -8 + 21 15x = -8 + 21 Combine like terms: -8 + 21 = 13 15x = 13 Divide each side by '15'. x = 0.8666666667 Simplifying x = 0.8666666667
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