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Simplifying 3(x + -6) + -1(7 + -4x) = 6x Reorder the terms: 3(-6 + x) + -1(7 + -4x) = 6x (-6 * 3 + x * 3) + -1(7 + -4x) = 6x (-18 + 3x) + -1(7 + -4x) = 6x -18 + 3x + (7 * -1 + -4x * -1) = 6x -18 + 3x + (-7 + 4x) = 6x Reorder the terms: -18 + -7 + 3x + 4x = 6x Combine like terms: -18 + -7 = -25 -25 + 3x + 4x = 6x Combine like terms: 3x + 4x = 7x -25 + 7x = 6x Solving -25 + 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x -25 + 1x = 6x + -6x Combine like terms: 6x + -6x = 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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