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Simplifying -0.10(19) + 0.40x = 0.05(x + -10) Multiply -0.10 * 19 -1.9 + 0.40x = 0.05(x + -10) Reorder the terms: -1.9 + 0.40x = 0.05(-10 + x) -1.9 + 0.40x = (-10 * 0.05 + x * 0.05) -1.9 + 0.40x = (-0.5 + 0.05x) Solving -1.9 + 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. -1.9 + 0.40x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.40x + -0.05x = 0.35x -1.9 + 0.35x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.9 + 0.35x = -0.5 + 0.00 -1.9 + 0.35x = -0.5 Add '1.9' to each side of the equation. -1.9 + 1.9 + 0.35x = -0.5 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 0.35x = -0.5 + 1.9 0.35x = -0.5 + 1.9 Combine like terms: -0.5 + 1.9 = 1.4 0.35x = 1.4 Divide each side by '0.35'. x = 4 Simplifying x = 4
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