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Simplifying 5x + -0.333 = 6x + -0.5 Reorder the terms: -0.333 + 5x = 6x + -0.5 Reorder the terms: -0.333 + 5x = -0.5 + 6x Solving -0.333 + 5x = -0.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -0.333 + 5x + -6x = -0.5 + 6x + -6x Combine like terms: 5x + -6x = -1x -0.333 + -1x = -0.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -0.333 + -1x = -0.5 + 0 -0.333 + -1x = -0.5 Add '0.333' to each side of the equation. -0.333 + 0.333 + -1x = -0.5 + 0.333 Combine like terms: -0.333 + 0.333 = 0.000 0.000 + -1x = -0.5 + 0.333 -1x = -0.5 + 0.333 Combine like terms: -0.5 + 0.333 = -0.167 -1x = -0.167 Divide each side by '-1'. x = 0.167 Simplifying x = 0.167
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