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Simplifying x + 9 = 51(4x + -2) Reorder the terms: 9 + x = 51(4x + -2) Reorder the terms: 9 + x = 51(-2 + 4x) 9 + x = (-2 * 51 + 4x * 51) 9 + x = (-102 + 204x) Solving 9 + x = -102 + 204x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204x' to each side of the equation. 9 + x + -204x = -102 + 204x + -204x Combine like terms: x + -204x = -203x 9 + -203x = -102 + 204x + -204x Combine like terms: 204x + -204x = 0 9 + -203x = -102 + 0 9 + -203x = -102 Add '-9' to each side of the equation. 9 + -9 + -203x = -102 + -9 Combine like terms: 9 + -9 = 0 0 + -203x = -102 + -9 -203x = -102 + -9 Combine like terms: -102 + -9 = -111 -203x = -111 Divide each side by '-203'. x = 0.5467980296 Simplifying x = 0.5467980296
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