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Simplifying 51 + -8x = 5x + -1(28 + -4x) 51 + -8x = 5x + (28 * -1 + -4x * -1) 51 + -8x = 5x + (-28 + 4x) Reorder the terms: 51 + -8x = -28 + 5x + 4x Combine like terms: 5x + 4x = 9x 51 + -8x = -28 + 9x Solving 51 + -8x = -28 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 51 + -8x + -9x = -28 + 9x + -9x Combine like terms: -8x + -9x = -17x 51 + -17x = -28 + 9x + -9x Combine like terms: 9x + -9x = 0 51 + -17x = -28 + 0 51 + -17x = -28 Add '-51' to each side of the equation. 51 + -51 + -17x = -28 + -51 Combine like terms: 51 + -51 = 0 0 + -17x = -28 + -51 -17x = -28 + -51 Combine like terms: -28 + -51 = -79 -17x = -79 Divide each side by '-17'. x = 4.647058824 Simplifying x = 4.647058824
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