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Simplifying 1.5(8x + 10) + -0.60(10x + -5) = 0 Reorder the terms: 1.5(10 + 8x) + -0.60(10x + -5) = 0 (10 * 1.5 + 8x * 1.5) + -0.60(10x + -5) = 0 (15 + 12x) + -0.60(10x + -5) = 0 Reorder the terms: 15 + 12x + -0.60(-5 + 10x) = 0 15 + 12x + (-5 * -0.60 + 10x * -0.60) = 0 15 + 12x + (3 + -6x) = 0 Reorder the terms: 15 + 3 + 12x + -6x = 0 Combine like terms: 15 + 3 = 18 18 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x 18 + 6x = 0 Solving 18 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 0 + -18 6x = 0 + -18 Combine like terms: 0 + -18 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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