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Simplifying 6x + -1(12 + -8x) = 4x + -1(51 + 8x) 6x + (12 * -1 + -8x * -1) = 4x + -1(51 + 8x) 6x + (-12 + 8x) = 4x + -1(51 + 8x) Reorder the terms: -12 + 6x + 8x = 4x + -1(51 + 8x) Combine like terms: 6x + 8x = 14x -12 + 14x = 4x + -1(51 + 8x) -12 + 14x = 4x + (51 * -1 + 8x * -1) -12 + 14x = 4x + (-51 + -8x) Reorder the terms: -12 + 14x = -51 + 4x + -8x Combine like terms: 4x + -8x = -4x -12 + 14x = -51 + -4x Solving -12 + 14x = -51 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 14x + 4x = -51 + -4x + 4x Combine like terms: 14x + 4x = 18x -12 + 18x = -51 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 18x = -51 + 0 -12 + 18x = -51 Add '12' to each side of the equation. -12 + 12 + 18x = -51 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = -51 + 12 18x = -51 + 12 Combine like terms: -51 + 12 = -39 18x = -39 Divide each side by '18'. x = -2.166666667 Simplifying x = -2.166666667
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