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Simplifying 0.333x + 1 = 0.833x + -3 Reorder the terms: 1 + 0.333x = 0.833x + -3 Reorder the terms: 1 + 0.333x = -3 + 0.833x Solving 1 + 0.333x = -3 + 0.833x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.833x' to each side of the equation. 1 + 0.333x + -0.833x = -3 + 0.833x + -0.833x Combine like terms: 0.333x + -0.833x = -0.5x 1 + -0.5x = -3 + 0.833x + -0.833x Combine like terms: 0.833x + -0.833x = 0.000 1 + -0.5x = -3 + 0.000 1 + -0.5x = -3 Add '-1' to each side of the equation. 1 + -1 + -0.5x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x = -3 + -1 -0.5x = -3 + -1 Combine like terms: -3 + -1 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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