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Simplifying 23(2x + 5) = 6x + 315 Reorder the terms: 23(5 + 2x) = 6x + 315 (5 * 23 + 2x * 23) = 6x + 315 (115 + 46x) = 6x + 315 Reorder the terms: 115 + 46x = 315 + 6x Solving 115 + 46x = 315 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 115 + 46x + -6x = 315 + 6x + -6x Combine like terms: 46x + -6x = 40x 115 + 40x = 315 + 6x + -6x Combine like terms: 6x + -6x = 0 115 + 40x = 315 + 0 115 + 40x = 315 Add '-115' to each side of the equation. 115 + -115 + 40x = 315 + -115 Combine like terms: 115 + -115 = 0 0 + 40x = 315 + -115 40x = 315 + -115 Combine like terms: 315 + -115 = 200 40x = 200 Divide each side by '40'. x = 5 Simplifying x = 5
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