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Simplifying 3(2x + 16) = 10(14x + -317) Reorder the terms: 3(16 + 2x) = 10(14x + -317) (16 * 3 + 2x * 3) = 10(14x + -317) (48 + 6x) = 10(14x + -317) Reorder the terms: 48 + 6x = 10(-317 + 14x) 48 + 6x = (-317 * 10 + 14x * 10) 48 + 6x = (-3170 + 140x) Solving 48 + 6x = -3170 + 140x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140x' to each side of the equation. 48 + 6x + -140x = -3170 + 140x + -140x Combine like terms: 6x + -140x = -134x 48 + -134x = -3170 + 140x + -140x Combine like terms: 140x + -140x = 0 48 + -134x = -3170 + 0 48 + -134x = -3170 Add '-48' to each side of the equation. 48 + -48 + -134x = -3170 + -48 Combine like terms: 48 + -48 = 0 0 + -134x = -3170 + -48 -134x = -3170 + -48 Combine like terms: -3170 + -48 = -3218 -134x = -3218 Divide each side by '-134'. x = 24.01492537 Simplifying x = 24.01492537
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