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Simplifying 6(x + -0.08) + -0.2(5x + -4) = 6 Reorder the terms: 6(-0.08 + x) + -0.2(5x + -4) = 6 (-0.08 * 6 + x * 6) + -0.2(5x + -4) = 6 (-0.48 + 6x) + -0.2(5x + -4) = 6 Reorder the terms: -0.48 + 6x + -0.2(-4 + 5x) = 6 -0.48 + 6x + (-4 * -0.2 + 5x * -0.2) = 6 -0.48 + 6x + (0.8 + -1x) = 6 Reorder the terms: -0.48 + 0.8 + 6x + -1x = 6 Combine like terms: -0.48 + 0.8 = 0.32 0.32 + 6x + -1x = 6 Combine like terms: 6x + -1x = 5x 0.32 + 5x = 6 Solving 0.32 + 5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32' to each side of the equation. 0.32 + -0.32 + 5x = 6 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 5x = 6 + -0.32 5x = 6 + -0.32 Combine like terms: 6 + -0.32 = 5.68 5x = 5.68 Divide each side by '5'. x = 1.136 Simplifying x = 1.136
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