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Simplifying 2(2x + 70) + 2(9x + 63) = 420 Reorder the terms: 2(70 + 2x) + 2(9x + 63) = 420 (70 * 2 + 2x * 2) + 2(9x + 63) = 420 (140 + 4x) + 2(9x + 63) = 420 Reorder the terms: 140 + 4x + 2(63 + 9x) = 420 140 + 4x + (63 * 2 + 9x * 2) = 420 140 + 4x + (126 + 18x) = 420 Reorder the terms: 140 + 126 + 4x + 18x = 420 Combine like terms: 140 + 126 = 266 266 + 4x + 18x = 420 Combine like terms: 4x + 18x = 22x 266 + 22x = 420 Solving 266 + 22x = 420 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-266' to each side of the equation. 266 + -266 + 22x = 420 + -266 Combine like terms: 266 + -266 = 0 0 + 22x = 420 + -266 22x = 420 + -266 Combine like terms: 420 + -266 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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