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Simplifying 0.42x + 6 = 5.25x + -0.80 Reorder the terms: 6 + 0.42x = 5.25x + -0.80 Reorder the terms: 6 + 0.42x = -0.80 + 5.25x Solving 6 + 0.42x = -0.80 + 5.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25x' to each side of the equation. 6 + 0.42x + -5.25x = -0.80 + 5.25x + -5.25x Combine like terms: 0.42x + -5.25x = -4.83x 6 + -4.83x = -0.80 + 5.25x + -5.25x Combine like terms: 5.25x + -5.25x = 0.00 6 + -4.83x = -0.80 + 0.00 6 + -4.83x = -0.80 Add '-6' to each side of the equation. 6 + -6 + -4.83x = -0.80 + -6 Combine like terms: 6 + -6 = 0 0 + -4.83x = -0.80 + -6 -4.83x = -0.80 + -6 Combine like terms: -0.80 + -6 = -6.8 -4.83x = -6.8 Divide each side by '-4.83'. x = 1.407867495 Simplifying x = 1.407867495
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