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Simplifying 0.333(x + 4) + -0.833(x + -3) = 0.5x + 1 Reorder the terms: 0.333(4 + x) + -0.833(x + -3) = 0.5x + 1 (4 * 0.333 + x * 0.333) + -0.833(x + -3) = 0.5x + 1 (1.332 + 0.333x) + -0.833(x + -3) = 0.5x + 1 Reorder the terms: 1.332 + 0.333x + -0.833(-3 + x) = 0.5x + 1 1.332 + 0.333x + (-3 * -0.833 + x * -0.833) = 0.5x + 1 1.332 + 0.333x + (2.499 + -0.833x) = 0.5x + 1 Reorder the terms: 1.332 + 2.499 + 0.333x + -0.833x = 0.5x + 1 Combine like terms: 1.332 + 2.499 = 3.831 3.831 + 0.333x + -0.833x = 0.5x + 1 Combine like terms: 0.333x + -0.833x = -0.5x 3.831 + -0.5x = 0.5x + 1 Reorder the terms: 3.831 + -0.5x = 1 + 0.5x Solving 3.831 + -0.5x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3.831 + -0.5x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: -0.5x + -0.5x = -1x 3.831 + -1x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3.831 + -1x = 1 + 0.0 3.831 + -1x = 1 Add '-3.831' to each side of the equation. 3.831 + -3.831 + -1x = 1 + -3.831 Combine like terms: 3.831 + -3.831 = 0.000 0.000 + -1x = 1 + -3.831 -1x = 1 + -3.831 Combine like terms: 1 + -3.831 = -2.831 -1x = -2.831 Divide each side by '-1'. x = 2.831 Simplifying x = 2.831
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