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Simplifying 0.333(2x + -5) + -2 = 0.5(x + -2) Reorder the terms: 0.333(-5 + 2x) + -2 = 0.5(x + -2) (-5 * 0.333 + 2x * 0.333) + -2 = 0.5(x + -2) (-1.665 + 0.666x) + -2 = 0.5(x + -2) Reorder the terms: -1.665 + -2 + 0.666x = 0.5(x + -2) Combine like terms: -1.665 + -2 = -3.665 -3.665 + 0.666x = 0.5(x + -2) Reorder the terms: -3.665 + 0.666x = 0.5(-2 + x) -3.665 + 0.666x = (-2 * 0.5 + x * 0.5) -3.665 + 0.666x = (-1 + 0.5x) Solving -3.665 + 0.666x = -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. -3.665 + 0.666x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 0.666x + -0.5x = 0.166x -3.665 + 0.166x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3.665 + 0.166x = -1 + 0.0 -3.665 + 0.166x = -1 Add '3.665' to each side of the equation. -3.665 + 3.665 + 0.166x = -1 + 3.665 Combine like terms: -3.665 + 3.665 = 0.000 0.000 + 0.166x = -1 + 3.665 0.166x = -1 + 3.665 Combine like terms: -1 + 3.665 = 2.665 0.166x = 2.665 Divide each side by '0.166'. x = 16.05421687 Simplifying x = 16.05421687
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