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Simplifying -5(17x + 22) = -39(19 + -2x) Reorder the terms: -5(22 + 17x) = -39(19 + -2x) (22 * -5 + 17x * -5) = -39(19 + -2x) (-110 + -85x) = -39(19 + -2x) -110 + -85x = (19 * -39 + -2x * -39) -110 + -85x = (-741 + 78x) Solving -110 + -85x = -741 + 78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78x' to each side of the equation. -110 + -85x + -78x = -741 + 78x + -78x Combine like terms: -85x + -78x = -163x -110 + -163x = -741 + 78x + -78x Combine like terms: 78x + -78x = 0 -110 + -163x = -741 + 0 -110 + -163x = -741 Add '110' to each side of the equation. -110 + 110 + -163x = -741 + 110 Combine like terms: -110 + 110 = 0 0 + -163x = -741 + 110 -163x = -741 + 110 Combine like terms: -741 + 110 = -631 -163x = -631 Divide each side by '-163'. x = 3.871165644 Simplifying x = 3.871165644
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