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Simplifying 0.3(x + -0.1) + 0.4 = 10 Reorder the terms: 0.3(-0.1 + x) + 0.4 = 10 (-0.1 * 0.3 + x * 0.3) + 0.4 = 10 (-0.03 + 0.3x) + 0.4 = 10 Reorder the terms: -0.03 + 0.4 + 0.3x = 10 Combine like terms: -0.03 + 0.4 = 0.37 0.37 + 0.3x = 10 Solving 0.37 + 0.3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.37' to each side of the equation. 0.37 + -0.37 + 0.3x = 10 + -0.37 Combine like terms: 0.37 + -0.37 = 0.00 0.00 + 0.3x = 10 + -0.37 0.3x = 10 + -0.37 Combine like terms: 10 + -0.37 = 9.63 0.3x = 9.63 Divide each side by '0.3'. x = 32.1 Simplifying x = 32.1
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