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Simplifying 140 + 11x = 2(18x + 26) + 2(20x + -21) Reorder the terms: 140 + 11x = 2(26 + 18x) + 2(20x + -21) 140 + 11x = (26 * 2 + 18x * 2) + 2(20x + -21) 140 + 11x = (52 + 36x) + 2(20x + -21) Reorder the terms: 140 + 11x = 52 + 36x + 2(-21 + 20x) 140 + 11x = 52 + 36x + (-21 * 2 + 20x * 2) 140 + 11x = 52 + 36x + (-42 + 40x) Reorder the terms: 140 + 11x = 52 + -42 + 36x + 40x Combine like terms: 52 + -42 = 10 140 + 11x = 10 + 36x + 40x Combine like terms: 36x + 40x = 76x 140 + 11x = 10 + 76x Solving 140 + 11x = 10 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 140 + 11x + -76x = 10 + 76x + -76x Combine like terms: 11x + -76x = -65x 140 + -65x = 10 + 76x + -76x Combine like terms: 76x + -76x = 0 140 + -65x = 10 + 0 140 + -65x = 10 Add '-140' to each side of the equation. 140 + -140 + -65x = 10 + -140 Combine like terms: 140 + -140 = 0 0 + -65x = 10 + -140 -65x = 10 + -140 Combine like terms: 10 + -140 = -130 -65x = -130 Divide each side by '-65'. x = 2 Simplifying x = 2
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