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Simplifying -1(-8x + 7) = 3(-3x + 9) Reorder the terms: -1(7 + -8x) = 3(-3x + 9) (7 * -1 + -8x * -1) = 3(-3x + 9) (-7 + 8x) = 3(-3x + 9) Reorder the terms: -7 + 8x = 3(9 + -3x) -7 + 8x = (9 * 3 + -3x * 3) -7 + 8x = (27 + -9x) Solving -7 + 8x = 27 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + 8x + 9x = 27 + -9x + 9x Combine like terms: 8x + 9x = 17x -7 + 17x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 17x = 27 + 0 -7 + 17x = 27 Add '7' to each side of the equation. -7 + 7 + 17x = 27 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = 27 + 7 17x = 27 + 7 Combine like terms: 27 + 7 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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