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