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Simplifying -5(6 + -7x) + -1(1 + -1x) = 4(x + -6) (6 * -5 + -7x * -5) + -1(1 + -1x) = 4(x + -6) (-30 + 35x) + -1(1 + -1x) = 4(x + -6) -30 + 35x + (1 * -1 + -1x * -1) = 4(x + -6) -30 + 35x + (-1 + 1x) = 4(x + -6) Reorder the terms: -30 + -1 + 35x + 1x = 4(x + -6) Combine like terms: -30 + -1 = -31 -31 + 35x + 1x = 4(x + -6) Combine like terms: 35x + 1x = 36x -31 + 36x = 4(x + -6) Reorder the terms: -31 + 36x = 4(-6 + x) -31 + 36x = (-6 * 4 + x * 4) -31 + 36x = (-24 + 4x) Solving -31 + 36x = -24 + 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 + 36x + -4x = -24 + 4x + -4x Combine like terms: 36x + -4x = 32x -31 + 32x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 32x = -24 + 0 -31 + 32x = -24 Add '31' to each side of the equation. -31 + 31 + 32x = -24 + 31 Combine like terms: -31 + 31 = 0 0 + 32x = -24 + 31 32x = -24 + 31 Combine like terms: -24 + 31 = 7 32x = 7 Divide each side by '32'. x = 0.21875 Simplifying x = 0.21875
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