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Simplifying 7(4x + 2) = 27x + -10 Reorder the terms: 7(2 + 4x) = 27x + -10 (2 * 7 + 4x * 7) = 27x + -10 (14 + 28x) = 27x + -10 Reorder the terms: 14 + 28x = -10 + 27x Solving 14 + 28x = -10 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 14 + 28x + -27x = -10 + 27x + -27x Combine like terms: 28x + -27x = 1x 14 + 1x = -10 + 27x + -27x Combine like terms: 27x + -27x = 0 14 + 1x = -10 + 0 14 + 1x = -10 Add '-14' to each side of the equation. 14 + -14 + 1x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -10 + -14 1x = -10 + -14 Combine like terms: -10 + -14 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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