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Simplifying -14(2x + -22) = 3x + 51 Reorder the terms: -14(-22 + 2x) = 3x + 51 (-22 * -14 + 2x * -14) = 3x + 51 (308 + -28x) = 3x + 51 Reorder the terms: 308 + -28x = 51 + 3x Solving 308 + -28x = 51 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 308 + -28x + -3x = 51 + 3x + -3x Combine like terms: -28x + -3x = -31x 308 + -31x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 308 + -31x = 51 + 0 308 + -31x = 51 Add '-308' to each side of the equation. 308 + -308 + -31x = 51 + -308 Combine like terms: 308 + -308 = 0 0 + -31x = 51 + -308 -31x = 51 + -308 Combine like terms: 51 + -308 = -257 -31x = -257 Divide each side by '-31'. x = 8.290322581 Simplifying x = 8.290322581
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