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Simplifying -4(6 + -7x) + -1(1 + -1x) = 4(x + -3) (6 * -4 + -7x * -4) + -1(1 + -1x) = 4(x + -3) (-24 + 28x) + -1(1 + -1x) = 4(x + -3) -24 + 28x + (1 * -1 + -1x * -1) = 4(x + -3) -24 + 28x + (-1 + 1x) = 4(x + -3) Reorder the terms: -24 + -1 + 28x + 1x = 4(x + -3) Combine like terms: -24 + -1 = -25 -25 + 28x + 1x = 4(x + -3) Combine like terms: 28x + 1x = 29x -25 + 29x = 4(x + -3) Reorder the terms: -25 + 29x = 4(-3 + x) -25 + 29x = (-3 * 4 + x * 4) -25 + 29x = (-12 + 4x) Solving -25 + 29x = -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. -25 + 29x + -4x = -12 + 4x + -4x Combine like terms: 29x + -4x = 25x -25 + 25x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 25x = -12 + 0 -25 + 25x = -12 Add '25' to each side of the equation. -25 + 25 + 25x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + 25x = -12 + 25 25x = -12 + 25 Combine like terms: -12 + 25 = 13 25x = 13 Divide each side by '25'. x = 0.52 Simplifying x = 0.52
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