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Simplifying 9x + -1(x + 8) = 3(2x + -7) Reorder the terms: 9x + -1(8 + x) = 3(2x + -7) 9x + (8 * -1 + x * -1) = 3(2x + -7) 9x + (-8 + -1x) = 3(2x + -7) Reorder the terms: -8 + 9x + -1x = 3(2x + -7) Combine like terms: 9x + -1x = 8x -8 + 8x = 3(2x + -7) Reorder the terms: -8 + 8x = 3(-7 + 2x) -8 + 8x = (-7 * 3 + 2x * 3) -8 + 8x = (-21 + 6x) Solving -8 + 8x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = -21 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = -21 + 0 -8 + 2x = -21 Add '8' to each side of the equation. -8 + 8 + 2x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -21 + 8 2x = -21 + 8 Combine like terms: -21 + 8 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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