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Simplifying 6x + -51 = 4x(-101) Reorder the terms: -51 + 6x = 4x(-101) Reorder the terms for easier multiplication: -51 + 6x = 4 * -101x Multiply 4 * -101 -51 + 6x = -404x Solving -51 + 6x = -404x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '404x' to each side of the equation. -51 + 6x + 404x = -404x + 404x Combine like terms: 6x + 404x = 410x -51 + 410x = -404x + 404x Combine like terms: -404x + 404x = 0 -51 + 410x = 0 Add '51' to each side of the equation. -51 + 51 + 410x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 410x = 0 + 51 410x = 0 + 51 Combine like terms: 0 + 51 = 51 410x = 51 Divide each side by '410'. x = 0.1243902439 Simplifying x = 0.1243902439
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