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Simplifying -5(6 + -5x) + -1(1 + -1x) = 4(x + -3) (6 * -5 + -5x * -5) + -1(1 + -1x) = 4(x + -3) (-30 + 25x) + -1(1 + -1x) = 4(x + -3) -30 + 25x + (1 * -1 + -1x * -1) = 4(x + -3) -30 + 25x + (-1 + 1x) = 4(x + -3) Reorder the terms: -30 + -1 + 25x + 1x = 4(x + -3) Combine like terms: -30 + -1 = -31 -31 + 25x + 1x = 4(x + -3) Combine like terms: 25x + 1x = 26x -31 + 26x = 4(x + -3) Reorder the terms: -31 + 26x = 4(-3 + x) -31 + 26x = (-3 * 4 + x * 4) -31 + 26x = (-12 + 4x) Solving -31 + 26x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 26x + -4x = -12 + 4x + -4x Combine like terms: 26x + -4x = 22x -31 + 22x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 22x = -12 + 0 -31 + 22x = -12 Add '31' to each side of the equation. -31 + 31 + 22x = -12 + 31 Combine like terms: -31 + 31 = 0 0 + 22x = -12 + 31 22x = -12 + 31 Combine like terms: -12 + 31 = 19 22x = 19 Divide each side by '22'. x = 0.8636363636 Simplifying x = 0.8636363636
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