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Simplifying 6x + -1(9x + 9) = 8x + -42 Reorder the terms: 6x + -1(9 + 9x) = 8x + -42 6x + (9 * -1 + 9x * -1) = 8x + -42 6x + (-9 + -9x) = 8x + -42 Reorder the terms: -9 + 6x + -9x = 8x + -42 Combine like terms: 6x + -9x = -3x -9 + -3x = 8x + -42 Reorder the terms: -9 + -3x = -42 + 8x Solving -9 + -3x = -42 + 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. -9 + -3x + -8x = -42 + 8x + -8x Combine like terms: -3x + -8x = -11x -9 + -11x = -42 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -11x = -42 + 0 -9 + -11x = -42 Add '9' to each side of the equation. -9 + 9 + -11x = -42 + 9 Combine like terms: -9 + 9 = 0 0 + -11x = -42 + 9 -11x = -42 + 9 Combine like terms: -42 + 9 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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