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Simplifying -0.10(67) + 0.85x = 0.05(x + -6) Multiply -0.10 * 67 -6.7 + 0.85x = 0.05(x + -6) Reorder the terms: -6.7 + 0.85x = 0.05(-6 + x) -6.7 + 0.85x = (-6 * 0.05 + x * 0.05) -6.7 + 0.85x = (-0.3 + 0.05x) Solving -6.7 + 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. -6.7 + 0.85x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -6.7 + 0.8x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6.7 + 0.8x = -0.3 + 0.00 -6.7 + 0.8x = -0.3 Add '6.7' to each side of the equation. -6.7 + 6.7 + 0.8x = -0.3 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + 0.8x = -0.3 + 6.7 0.8x = -0.3 + 6.7 Combine like terms: -0.3 + 6.7 = 6.4 0.8x = 6.4 Divide each side by '0.8'. x = 8 Simplifying x = 8
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