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Simplifying 0.10x + 0.5(6 + x) = 0.10(-4) 0.10x + (6 * 0.5 + x * 0.5) = 0.10(-4) 0.10x + (3 + 0.5x) = 0.10(-4) Reorder the terms: 3 + 0.10x + 0.5x = 0.10(-4) Combine like terms: 0.10x + 0.5x = 0.6x 3 + 0.6x = 0.10(-4) Multiply 0.10 * -4 3 + 0.6x = -0.4 Solving 3 + 0.6x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.6x = -0.4 + -3 Combine like terms: 3 + -3 = 0 0 + 0.6x = -0.4 + -3 0.6x = -0.4 + -3 Combine like terms: -0.4 + -3 = -3.4 0.6x = -3.4 Divide each side by '0.6'. x = -5.666666667 Simplifying x = -5.666666667
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