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Simplifying 6x + -1(2x + -7) = x + -14 Reorder the terms: 6x + -1(-7 + 2x) = x + -14 6x + (-7 * -1 + 2x * -1) = x + -14 6x + (7 + -2x) = x + -14 Reorder the terms: 7 + 6x + -2x = x + -14 Combine like terms: 6x + -2x = 4x 7 + 4x = x + -14 Reorder the terms: 7 + 4x = -14 + x Solving 7 + 4x = -14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = -14 + x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = -14 + x + -1x Combine like terms: x + -1x = 0 7 + 3x = -14 + 0 7 + 3x = -14 Add '-7' to each side of the equation. 7 + -7 + 3x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -14 + -7 3x = -14 + -7 Combine like terms: -14 + -7 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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