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Simplifying 4(10x + -7) + 12(3x + 14) = 76216 Reorder the terms: 4(-7 + 10x) + 12(3x + 14) = 76216 (-7 * 4 + 10x * 4) + 12(3x + 14) = 76216 (-28 + 40x) + 12(3x + 14) = 76216 Reorder the terms: -28 + 40x + 12(14 + 3x) = 76216 -28 + 40x + (14 * 12 + 3x * 12) = 76216 -28 + 40x + (168 + 36x) = 76216 Reorder the terms: -28 + 168 + 40x + 36x = 76216 Combine like terms: -28 + 168 = 140 140 + 40x + 36x = 76216 Combine like terms: 40x + 36x = 76x 140 + 76x = 76216 Solving 140 + 76x = 76216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + 76x = 76216 + -140 Combine like terms: 140 + -140 = 0 0 + 76x = 76216 + -140 76x = 76216 + -140 Combine like terms: 76216 + -140 = 76076 76x = 76076 Divide each side by '76'. x = 1001 Simplifying x = 1001
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