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Simplifying 6(-6x + 7) = 14 + -8x Reorder the terms: 6(7 + -6x) = 14 + -8x (7 * 6 + -6x * 6) = 14 + -8x (42 + -36x) = 14 + -8x Solving 42 + -36x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -36x + 8x = 14 + -8x + 8x Combine like terms: -36x + 8x = -28x 42 + -28x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -28x = 14 + 0 42 + -28x = 14 Add '-42' to each side of the equation. 42 + -42 + -28x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -28x = 14 + -42 -28x = 14 + -42 Combine like terms: 14 + -42 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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