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Simplifying -5(3 + -8x) + -1(1 + -1x) = 2(x + -3) (3 * -5 + -8x * -5) + -1(1 + -1x) = 2(x + -3) (-15 + 40x) + -1(1 + -1x) = 2(x + -3) -15 + 40x + (1 * -1 + -1x * -1) = 2(x + -3) -15 + 40x + (-1 + 1x) = 2(x + -3) Reorder the terms: -15 + -1 + 40x + 1x = 2(x + -3) Combine like terms: -15 + -1 = -16 -16 + 40x + 1x = 2(x + -3) Combine like terms: 40x + 1x = 41x -16 + 41x = 2(x + -3) Reorder the terms: -16 + 41x = 2(-3 + x) -16 + 41x = (-3 * 2 + x * 2) -16 + 41x = (-6 + 2x) Solving -16 + 41x = -6 + 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. -16 + 41x + -2x = -6 + 2x + -2x Combine like terms: 41x + -2x = 39x -16 + 39x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 39x = -6 + 0 -16 + 39x = -6 Add '16' to each side of the equation. -16 + 16 + 39x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 39x = -6 + 16 39x = -6 + 16 Combine like terms: -6 + 16 = 10 39x = 10 Divide each side by '39'. x = 0.2564102564 Simplifying x = 0.2564102564
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