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Simplifying -0.10(25) + 0.90x = 0.05(x + -16) Multiply -0.10 * 25 -2.5 + 0.90x = 0.05(x + -16) Reorder the terms: -2.5 + 0.90x = 0.05(-16 + x) -2.5 + 0.90x = (-16 * 0.05 + x * 0.05) -2.5 + 0.90x = (-0.8 + 0.05x) Solving -2.5 + 0.90x = -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. -2.5 + 0.90x + -0.05x = -0.8 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -2.5 + 0.85x = -0.8 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.5 + 0.85x = -0.8 + 0.00 -2.5 + 0.85x = -0.8 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.85x = -0.8 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.85x = -0.8 + 2.5 0.85x = -0.8 + 2.5 Combine like terms: -0.8 + 2.5 = 1.7 0.85x = 1.7 Divide each side by '0.85'. x = 2 Simplifying x = 2
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