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Simplifying 3x + 9(x + -5) = 8(x + -7) Reorder the terms: 3x + 9(-5 + x) = 8(x + -7) 3x + (-5 * 9 + x * 9) = 8(x + -7) 3x + (-45 + 9x) = 8(x + -7) Reorder the terms: -45 + 3x + 9x = 8(x + -7) Combine like terms: 3x + 9x = 12x -45 + 12x = 8(x + -7) Reorder the terms: -45 + 12x = 8(-7 + x) -45 + 12x = (-7 * 8 + x * 8) -45 + 12x = (-56 + 8x) Solving -45 + 12x = -56 + 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. -45 + 12x + -8x = -56 + 8x + -8x Combine like terms: 12x + -8x = 4x -45 + 4x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 4x = -56 + 0 -45 + 4x = -56 Add '45' to each side of the equation. -45 + 45 + 4x = -56 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -56 + 45 4x = -56 + 45 Combine like terms: -56 + 45 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
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