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Simplifying 9(7x + -5) = -9(6x + -7) + -342 Reorder the terms: 9(-5 + 7x) = -9(6x + -7) + -342 (-5 * 9 + 7x * 9) = -9(6x + -7) + -342 (-45 + 63x) = -9(6x + -7) + -342 Reorder the terms: -45 + 63x = -9(-7 + 6x) + -342 -45 + 63x = (-7 * -9 + 6x * -9) + -342 -45 + 63x = (63 + -54x) + -342 Reorder the terms: -45 + 63x = 63 + -342 + -54x Combine like terms: 63 + -342 = -279 -45 + 63x = -279 + -54x Solving -45 + 63x = -279 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -45 + 63x + 54x = -279 + -54x + 54x Combine like terms: 63x + 54x = 117x -45 + 117x = -279 + -54x + 54x Combine like terms: -54x + 54x = 0 -45 + 117x = -279 + 0 -45 + 117x = -279 Add '45' to each side of the equation. -45 + 45 + 117x = -279 + 45 Combine like terms: -45 + 45 = 0 0 + 117x = -279 + 45 117x = -279 + 45 Combine like terms: -279 + 45 = -234 117x = -234 Divide each side by '117'. x = -2 Simplifying x = -2
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