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Simplifying 4x + -1(51 + 8x) = 9 + -1(112 + -8x) 4x + (51 * -1 + 8x * -1) = 9 + -1(112 + -8x) 4x + (-51 + -8x) = 9 + -1(112 + -8x) Reorder the terms: -51 + 4x + -8x = 9 + -1(112 + -8x) Combine like terms: 4x + -8x = -4x -51 + -4x = 9 + -1(112 + -8x) -51 + -4x = 9 + (112 * -1 + -8x * -1) -51 + -4x = 9 + (-112 + 8x) Combine like terms: 9 + -112 = -103 -51 + -4x = -103 + 8x Solving -51 + -4x = -103 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -51 + -4x + -8x = -103 + 8x + -8x Combine like terms: -4x + -8x = -12x -51 + -12x = -103 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -12x = -103 + 0 -51 + -12x = -103 Add '51' to each side of the equation. -51 + 51 + -12x = -103 + 51 Combine like terms: -51 + 51 = 0 0 + -12x = -103 + 51 -12x = -103 + 51 Combine like terms: -103 + 51 = -52 -12x = -52 Divide each side by '-12'. x = 4.333333333 Simplifying x = 4.333333333
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