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Simplifying -6x + -25(x + 4) = -6(5x + 2) Reorder the terms: -6x + -25(4 + x) = -6(5x + 2) -6x + (4 * -25 + x * -25) = -6(5x + 2) -6x + (-100 + -25x) = -6(5x + 2) Reorder the terms: -100 + -6x + -25x = -6(5x + 2) Combine like terms: -6x + -25x = -31x -100 + -31x = -6(5x + 2) Reorder the terms: -100 + -31x = -6(2 + 5x) -100 + -31x = (2 * -6 + 5x * -6) -100 + -31x = (-12 + -30x) Solving -100 + -31x = -12 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -100 + -31x + 30x = -12 + -30x + 30x Combine like terms: -31x + 30x = -1x -100 + -1x = -12 + -30x + 30x Combine like terms: -30x + 30x = 0 -100 + -1x = -12 + 0 -100 + -1x = -12 Add '100' to each side of the equation. -100 + 100 + -1x = -12 + 100 Combine like terms: -100 + 100 = 0 0 + -1x = -12 + 100 -1x = -12 + 100 Combine like terms: -12 + 100 = 88 -1x = 88 Divide each side by '-1'. x = -88 Simplifying x = -88
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