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Simplifying 8x + 2 = 15(5x + -2) Reorder the terms: 2 + 8x = 15(5x + -2) Reorder the terms: 2 + 8x = 15(-2 + 5x) 2 + 8x = (-2 * 15 + 5x * 15) 2 + 8x = (-30 + 75x) Solving 2 + 8x = -30 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 2 + 8x + -75x = -30 + 75x + -75x Combine like terms: 8x + -75x = -67x 2 + -67x = -30 + 75x + -75x Combine like terms: 75x + -75x = 0 2 + -67x = -30 + 0 2 + -67x = -30 Add '-2' to each side of the equation. 2 + -2 + -67x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -67x = -30 + -2 -67x = -30 + -2 Combine like terms: -30 + -2 = -32 -67x = -32 Divide each side by '-67'. x = 0.4776119403 Simplifying x = 0.4776119403
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