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Simplifying -0.10(76) + 0.90x = 0.05(x + -16) Multiply -0.10 * 76 -7.6 + 0.90x = 0.05(x + -16) Reorder the terms: -7.6 + 0.90x = 0.05(-16 + x) -7.6 + 0.90x = (-16 * 0.05 + x * 0.05) -7.6 + 0.90x = (-0.8 + 0.05x) Solving -7.6 + 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. -7.6 + 0.90x + -0.05x = -0.8 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -7.6 + 0.85x = -0.8 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.6 + 0.85x = -0.8 + 0.00 -7.6 + 0.85x = -0.8 Add '7.6' to each side of the equation. -7.6 + 7.6 + 0.85x = -0.8 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 0.85x = -0.8 + 7.6 0.85x = -0.8 + 7.6 Combine like terms: -0.8 + 7.6 = 6.8 0.85x = 6.8 Divide each side by '0.85'. x = 8 Simplifying x = 8
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