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Simplifying 7 + -1(3x + -7) = 6 + -4x Reorder the terms: 7 + -1(-7 + 3x) = 6 + -4x 7 + (-7 * -1 + 3x * -1) = 6 + -4x 7 + (7 + -3x) = 6 + -4x Combine like terms: 7 + 7 = 14 14 + -3x = 6 + -4x Solving 14 + -3x = 6 + -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. 14 + -3x + 4x = 6 + -4x + 4x Combine like terms: -3x + 4x = 1x 14 + 1x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 1x = 6 + 0 14 + 1x = 6 Add '-14' to each side of the equation. 14 + -14 + 1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 6 + -14 1x = 6 + -14 Combine like terms: 6 + -14 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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