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Simplifying -0.10(47) + 0.40x = 0.05(x + -10) Multiply -0.10 * 47 -4.7 + 0.40x = 0.05(x + -10) Reorder the terms: -4.7 + 0.40x = 0.05(-10 + x) -4.7 + 0.40x = (-10 * 0.05 + x * 0.05) -4.7 + 0.40x = (-0.5 + 0.05x) Solving -4.7 + 0.40x = -0.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -4.7 + 0.40x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.40x + -0.05x = 0.35x -4.7 + 0.35x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.7 + 0.35x = -0.5 + 0.00 -4.7 + 0.35x = -0.5 Add '4.7' to each side of the equation. -4.7 + 4.7 + 0.35x = -0.5 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 0.35x = -0.5 + 4.7 0.35x = -0.5 + 4.7 Combine like terms: -0.5 + 4.7 = 4.2 0.35x = 4.2 Divide each side by '0.35'. x = 12 Simplifying x = 12
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