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Simplifying 3(x + -7) + -1(6 + -4x) = 6x Reorder the terms: 3(-7 + x) + -1(6 + -4x) = 6x (-7 * 3 + x * 3) + -1(6 + -4x) = 6x (-21 + 3x) + -1(6 + -4x) = 6x -21 + 3x + (6 * -1 + -4x * -1) = 6x -21 + 3x + (-6 + 4x) = 6x Reorder the terms: -21 + -6 + 3x + 4x = 6x Combine like terms: -21 + -6 = -27 -27 + 3x + 4x = 6x Combine like terms: 3x + 4x = 7x -27 + 7x = 6x Solving -27 + 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. -27 + 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x -27 + 1x = 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 1x = 0 Add '27' to each side of the equation. -27 + 27 + 1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 0 + 27 1x = 0 + 27 Combine like terms: 0 + 27 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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