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Simplifying -0.10(51) + 0.85x = 0.05(x + -6) Multiply -0.10 * 51 -5.1 + 0.85x = 0.05(x + -6) Reorder the terms: -5.1 + 0.85x = 0.05(-6 + x) -5.1 + 0.85x = (-6 * 0.05 + x * 0.05) -5.1 + 0.85x = (-0.3 + 0.05x) Solving -5.1 + 0.85x = -0.3 + 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. -5.1 + 0.85x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -5.1 + 0.8x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -5.1 + 0.8x = -0.3 + 0.00 -5.1 + 0.8x = -0.3 Add '5.1' to each side of the equation. -5.1 + 5.1 + 0.8x = -0.3 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 0.8x = -0.3 + 5.1 0.8x = -0.3 + 5.1 Combine like terms: -0.3 + 5.1 = 4.8 0.8x = 4.8 Divide each side by '0.8'. x = 6 Simplifying x = 6
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