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Simplifying 1.5x + 5 = 0.666x + -10 Reorder the terms: 5 + 1.5x = 0.666x + -10 Reorder the terms: 5 + 1.5x = -10 + 0.666x Solving 5 + 1.5x = -10 + 0.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.666x' to each side of the equation. 5 + 1.5x + -0.666x = -10 + 0.666x + -0.666x Combine like terms: 1.5x + -0.666x = 0.834x 5 + 0.834x = -10 + 0.666x + -0.666x Combine like terms: 0.666x + -0.666x = 0.000 5 + 0.834x = -10 + 0.000 5 + 0.834x = -10 Add '-5' to each side of the equation. 5 + -5 + 0.834x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 0.834x = -10 + -5 0.834x = -10 + -5 Combine like terms: -10 + -5 = -15 0.834x = -15 Divide each side by '0.834'. x = -17.98561151 Simplifying x = -17.98561151
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