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Simplifying 1.5x + 10 = -6x + -72.5 Reorder the terms: 10 + 1.5x = -6x + -72.5 Reorder the terms: 10 + 1.5x = -72.5 + -6x Solving 10 + 1.5x = -72.5 + -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. 10 + 1.5x + 6x = -72.5 + -6x + 6x Combine like terms: 1.5x + 6x = 7.5x 10 + 7.5x = -72.5 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 7.5x = -72.5 + 0 10 + 7.5x = -72.5 Add '-10' to each side of the equation. 10 + -10 + 7.5x = -72.5 + -10 Combine like terms: 10 + -10 = 0 0 + 7.5x = -72.5 + -10 7.5x = -72.5 + -10 Combine like terms: -72.5 + -10 = -82.5 7.5x = -82.5 Divide each side by '7.5'. x = -11 Simplifying x = -11
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