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Simplifying 0.65x + 0.5(18 + -1x) = 0.10(-99) 0.65x + (18 * 0.5 + -1x * 0.5) = 0.10(-99) 0.65x + (9 + -0.5x) = 0.10(-99) Reorder the terms: 9 + 0.65x + -0.5x = 0.10(-99) Combine like terms: 0.65x + -0.5x = 0.15x 9 + 0.15x = 0.10(-99) Multiply 0.10 * -99 9 + 0.15x = -9.9 Solving 9 + 0.15x = -9.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.15x = -9.9 + -9 Combine like terms: 9 + -9 = 0 0 + 0.15x = -9.9 + -9 0.15x = -9.9 + -9 Combine like terms: -9.9 + -9 = -18.9 0.15x = -18.9 Divide each side by '0.15'. x = -126 Simplifying x = -126
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