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Simplifying 34(6 + -2.5x) = 15(2x + -7) + 21.5 (6 * 34 + -2.5x * 34) = 15(2x + -7) + 21.5 (204 + -85x) = 15(2x + -7) + 21.5 Reorder the terms: 204 + -85x = 15(-7 + 2x) + 21.5 204 + -85x = (-7 * 15 + 2x * 15) + 21.5 204 + -85x = (-105 + 30x) + 21.5 Reorder the terms: 204 + -85x = -105 + 21.5 + 30x Combine like terms: -105 + 21.5 = -83.5 204 + -85x = -83.5 + 30x Solving 204 + -85x = -83.5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 204 + -85x + -30x = -83.5 + 30x + -30x Combine like terms: -85x + -30x = -115x 204 + -115x = -83.5 + 30x + -30x Combine like terms: 30x + -30x = 0 204 + -115x = -83.5 + 0 204 + -115x = -83.5 Add '-204' to each side of the equation. 204 + -204 + -115x = -83.5 + -204 Combine like terms: 204 + -204 = 0 0 + -115x = -83.5 + -204 -115x = -83.5 + -204 Combine like terms: -83.5 + -204 = -287.5 -115x = -287.5 Divide each side by '-115'. x = 2.5 Simplifying x = 2.5
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