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Simplifying -0.10(36) + 0.40x = 0.05(x + -16) Multiply -0.10 * 36 -3.6 + 0.40x = 0.05(x + -16) Reorder the terms: -3.6 + 0.40x = 0.05(-16 + x) -3.6 + 0.40x = (-16 * 0.05 + x * 0.05) -3.6 + 0.40x = (-0.8 + 0.05x) Solving -3.6 + 0.40x = -0.8 + 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. -3.6 + 0.40x + -0.05x = -0.8 + 0.05x + -0.05x Combine like terms: 0.40x + -0.05x = 0.35x -3.6 + 0.35x = -0.8 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3.6 + 0.35x = -0.8 + 0.00 -3.6 + 0.35x = -0.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.35x = -0.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.35x = -0.8 + 3.6 0.35x = -0.8 + 3.6 Combine like terms: -0.8 + 3.6 = 2.8 0.35x = 2.8 Divide each side by '0.35'. x = 8 Simplifying x = 8
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