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Simplifying 6x + -1(2x + 14) = 8 + -1(2x + -7) Reorder the terms: 6x + -1(14 + 2x) = 8 + -1(2x + -7) 6x + (14 * -1 + 2x * -1) = 8 + -1(2x + -7) 6x + (-14 + -2x) = 8 + -1(2x + -7) Reorder the terms: -14 + 6x + -2x = 8 + -1(2x + -7) Combine like terms: 6x + -2x = 4x -14 + 4x = 8 + -1(2x + -7) Reorder the terms: -14 + 4x = 8 + -1(-7 + 2x) -14 + 4x = 8 + (-7 * -1 + 2x * -1) -14 + 4x = 8 + (7 + -2x) Combine like terms: 8 + 7 = 15 -14 + 4x = 15 + -2x Solving -14 + 4x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 4x + 2x = 15 + -2x + 2x Combine like terms: 4x + 2x = 6x -14 + 6x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 6x = 15 + 0 -14 + 6x = 15 Add '14' to each side of the equation. -14 + 14 + 6x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 15 + 14 6x = 15 + 14 Combine like terms: 15 + 14 = 29 6x = 29 Divide each side by '6'. x = 4.833333333 Simplifying x = 4.833333333
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