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Simplifying 6(x + -4) + -1(1 + -7x) = 12x Reorder the terms: 6(-4 + x) + -1(1 + -7x) = 12x (-4 * 6 + x * 6) + -1(1 + -7x) = 12x (-24 + 6x) + -1(1 + -7x) = 12x -24 + 6x + (1 * -1 + -7x * -1) = 12x -24 + 6x + (-1 + 7x) = 12x Reorder the terms: -24 + -1 + 6x + 7x = 12x Combine like terms: -24 + -1 = -25 -25 + 6x + 7x = 12x Combine like terms: 6x + 7x = 13x -25 + 13x = 12x Solving -25 + 13x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -25 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x -25 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 -25 + 1x = 0 Add '25' to each side of the equation. -25 + 25 + 1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 0 + 25 1x = 0 + 25 Combine like terms: 0 + 25 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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