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Simplifying 36(35 + -6.5x) = 12(6x + -10) + 33.6 (35 * 36 + -6.5x * 36) = 12(6x + -10) + 33.6 (1260 + -234x) = 12(6x + -10) + 33.6 Reorder the terms: 1260 + -234x = 12(-10 + 6x) + 33.6 1260 + -234x = (-10 * 12 + 6x * 12) + 33.6 1260 + -234x = (-120 + 72x) + 33.6 Reorder the terms: 1260 + -234x = -120 + 33.6 + 72x Combine like terms: -120 + 33.6 = -86.4 1260 + -234x = -86.4 + 72x Solving 1260 + -234x = -86.4 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 1260 + -234x + -72x = -86.4 + 72x + -72x Combine like terms: -234x + -72x = -306x 1260 + -306x = -86.4 + 72x + -72x Combine like terms: 72x + -72x = 0 1260 + -306x = -86.4 + 0 1260 + -306x = -86.4 Add '-1260' to each side of the equation. 1260 + -1260 + -306x = -86.4 + -1260 Combine like terms: 1260 + -1260 = 0 0 + -306x = -86.4 + -1260 -306x = -86.4 + -1260 Combine like terms: -86.4 + -1260 = -1346.4 -306x = -1346.4 Divide each side by '-306'. x = 4.4 Simplifying x = 4.4
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