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Simplifying 0.30x + 0.50(6 + -1x) = 0.10(-7) 0.30x + (6 * 0.50 + -1x * 0.50) = 0.10(-7) 0.30x + (3 + -0.5x) = 0.10(-7) Reorder the terms: 3 + 0.30x + -0.5x = 0.10(-7) Combine like terms: 0.30x + -0.5x = -0.2x 3 + -0.2x = 0.10(-7) Multiply 0.10 * -7 3 + -0.2x = -0.7 Solving 3 + -0.2x = -0.7 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 + -0.2x = -0.7 + -3 Combine like terms: 3 + -3 = 0 0 + -0.2x = -0.7 + -3 -0.2x = -0.7 + -3 Combine like terms: -0.7 + -3 = -3.7 -0.2x = -3.7 Divide each side by '-0.2'. x = 18.5 Simplifying x = 18.5
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