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Simplifying -14 + -2x = 6(1 + -5x) + 8 -14 + -2x = (1 * 6 + -5x * 6) + 8 -14 + -2x = (6 + -30x) + 8 Reorder the terms: -14 + -2x = 6 + 8 + -30x Combine like terms: 6 + 8 = 14 -14 + -2x = 14 + -30x Solving -14 + -2x = 14 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -14 + -2x + 30x = 14 + -30x + 30x Combine like terms: -2x + 30x = 28x -14 + 28x = 14 + -30x + 30x Combine like terms: -30x + 30x = 0 -14 + 28x = 14 + 0 -14 + 28x = 14 Add '14' to each side of the equation. -14 + 14 + 28x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 28x = 14 + 14 28x = 14 + 14 Combine like terms: 14 + 14 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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