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Simplifying -9(x + 3) + 3x + 6 = 8x + 10 Reorder the terms: -9(3 + x) + 3x + 6 = 8x + 10 (3 * -9 + x * -9) + 3x + 6 = 8x + 10 (-27 + -9x) + 3x + 6 = 8x + 10 Reorder the terms: -27 + 6 + -9x + 3x = 8x + 10 Combine like terms: -27 + 6 = -21 -21 + -9x + 3x = 8x + 10 Combine like terms: -9x + 3x = -6x -21 + -6x = 8x + 10 Reorder the terms: -21 + -6x = 10 + 8x Solving -21 + -6x = 10 + 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. -21 + -6x + -8x = 10 + 8x + -8x Combine like terms: -6x + -8x = -14x -21 + -14x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -14x = 10 + 0 -21 + -14x = 10 Add '21' to each side of the equation. -21 + 21 + -14x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -14x = 10 + 21 -14x = 10 + 21 Combine like terms: 10 + 21 = 31 -14x = 31 Divide each side by '-14'. x = -2.214285714 Simplifying x = -2.214285714
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