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Simplifying 9 + -1(-18x + 21) = 26(-35 + 6x) Reorder the terms: 9 + -1(21 + -18x) = 26(-35 + 6x) 9 + (21 * -1 + -18x * -1) = 26(-35 + 6x) 9 + (-21 + 18x) = 26(-35 + 6x) Combine like terms: 9 + -21 = -12 -12 + 18x = 26(-35 + 6x) -12 + 18x = (-35 * 26 + 6x * 26) -12 + 18x = (-910 + 156x) Solving -12 + 18x = -910 + 156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-156x' to each side of the equation. -12 + 18x + -156x = -910 + 156x + -156x Combine like terms: 18x + -156x = -138x -12 + -138x = -910 + 156x + -156x Combine like terms: 156x + -156x = 0 -12 + -138x = -910 + 0 -12 + -138x = -910 Add '12' to each side of the equation. -12 + 12 + -138x = -910 + 12 Combine like terms: -12 + 12 = 0 0 + -138x = -910 + 12 -138x = -910 + 12 Combine like terms: -910 + 12 = -898 -138x = -898 Divide each side by '-138'. x = 6.507246377 Simplifying x = 6.507246377
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