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Simplifying 7(20x + -6) + 6(30 + -18x) = 298 Reorder the terms: 7(-6 + 20x) + 6(30 + -18x) = 298 (-6 * 7 + 20x * 7) + 6(30 + -18x) = 298 (-42 + 140x) + 6(30 + -18x) = 298 -42 + 140x + (30 * 6 + -18x * 6) = 298 -42 + 140x + (180 + -108x) = 298 Reorder the terms: -42 + 180 + 140x + -108x = 298 Combine like terms: -42 + 180 = 138 138 + 140x + -108x = 298 Combine like terms: 140x + -108x = 32x 138 + 32x = 298 Solving 138 + 32x = 298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-138' to each side of the equation. 138 + -138 + 32x = 298 + -138 Combine like terms: 138 + -138 = 0 0 + 32x = 298 + -138 32x = 298 + -138 Combine like terms: 298 + -138 = 160 32x = 160 Divide each side by '32'. x = 5 Simplifying x = 5
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