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Simplifying 6x + -1(2x + 6) = 6x + -14 Reorder the terms: 6x + -1(6 + 2x) = 6x + -14 6x + (6 * -1 + 2x * -1) = 6x + -14 6x + (-6 + -2x) = 6x + -14 Reorder the terms: -6 + 6x + -2x = 6x + -14 Combine like terms: 6x + -2x = 4x -6 + 4x = 6x + -14 Reorder the terms: -6 + 4x = -14 + 6x Solving -6 + 4x = -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. -6 + 4x + -6x = -14 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = -14 + 0 -6 + -2x = -14 Add '6' to each side of the equation. -6 + 6 + -2x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -14 + 6 -2x = -14 + 6 Combine like terms: -14 + 6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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