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Simplifying -0.10(16) + 0.40x = 0.05(x + -18) Multiply -0.10 * 16 -1.6 + 0.40x = 0.05(x + -18) Reorder the terms: -1.6 + 0.40x = 0.05(-18 + x) -1.6 + 0.40x = (-18 * 0.05 + x * 0.05) -1.6 + 0.40x = (-0.9 + 0.05x) Solving -1.6 + 0.40x = -0.9 + 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. -1.6 + 0.40x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.40x + -0.05x = 0.35x -1.6 + 0.35x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.6 + 0.35x = -0.9 + 0.00 -1.6 + 0.35x = -0.9 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.35x = -0.9 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.35x = -0.9 + 1.6 0.35x = -0.9 + 1.6 Combine like terms: -0.9 + 1.6 = 0.7 0.35x = 0.7 Divide each side by '0.35'. x = 2 Simplifying x = 2
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