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Simplifying 0.05x + -6 = 0.04(x + -8) Reorder the terms: -6 + 0.05x = 0.04(x + -8) Reorder the terms: -6 + 0.05x = 0.04(-8 + x) -6 + 0.05x = (-8 * 0.04 + x * 0.04) -6 + 0.05x = (-0.32 + 0.04x) Solving -6 + 0.05x = -0.32 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -6 + 0.05x + -0.04x = -0.32 + 0.04x + -0.04x Combine like terms: 0.05x + -0.04x = 0.01x -6 + 0.01x = -0.32 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -6 + 0.01x = -0.32 + 0.00 -6 + 0.01x = -0.32 Add '6' to each side of the equation. -6 + 6 + 0.01x = -0.32 + 6 Combine like terms: -6 + 6 = 0 0 + 0.01x = -0.32 + 6 0.01x = -0.32 + 6 Combine like terms: -0.32 + 6 = 5.68 0.01x = 5.68 Divide each side by '0.01'. x = 568 Simplifying x = 568
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