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Simplifying 15x + 23(1314 + -1x) = 24614 15x + (1314 * 23 + -1x * 23) = 24614 15x + (30222 + -23x) = 24614 Reorder the terms: 30222 + 15x + -23x = 24614 Combine like terms: 15x + -23x = -8x 30222 + -8x = 24614 Solving 30222 + -8x = 24614 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30222' to each side of the equation. 30222 + -30222 + -8x = 24614 + -30222 Combine like terms: 30222 + -30222 = 0 0 + -8x = 24614 + -30222 -8x = 24614 + -30222 Combine like terms: 24614 + -30222 = -5608 -8x = -5608 Divide each side by '-8'. x = 701 Simplifying x = 701
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