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Simplifying -6(-7x + 3) = 39(17 + 8x) Reorder the terms: -6(3 + -7x) = 39(17 + 8x) (3 * -6 + -7x * -6) = 39(17 + 8x) (-18 + 42x) = 39(17 + 8x) -18 + 42x = (17 * 39 + 8x * 39) -18 + 42x = (663 + 312x) Solving -18 + 42x = 663 + 312x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-312x' to each side of the equation. -18 + 42x + -312x = 663 + 312x + -312x Combine like terms: 42x + -312x = -270x -18 + -270x = 663 + 312x + -312x Combine like terms: 312x + -312x = 0 -18 + -270x = 663 + 0 -18 + -270x = 663 Add '18' to each side of the equation. -18 + 18 + -270x = 663 + 18 Combine like terms: -18 + 18 = 0 0 + -270x = 663 + 18 -270x = 663 + 18 Combine like terms: 663 + 18 = 681 -270x = 681 Divide each side by '-270'. x = -2.522222222 Simplifying x = -2.522222222
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