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Simplifying 2x + (3x + 2) + -1(2x + 0.5) = 2 Reorder the terms: 2x + (2 + 3x) + -1(2x + 0.5) = 2 Remove parenthesis around (2 + 3x) 2x + 2 + 3x + -1(2x + 0.5) = 2 Reorder the terms: 2x + 2 + 3x + -1(0.5 + 2x) = 2 2x + 2 + 3x + (0.5 * -1 + 2x * -1) = 2 2x + 2 + 3x + (-0.5 + -2x) = 2 Reorder the terms: 2 + -0.5 + 2x + 3x + -2x = 2 Combine like terms: 2 + -0.5 = 1.5 1.5 + 2x + 3x + -2x = 2 Combine like terms: 2x + 3x = 5x 1.5 + 5x + -2x = 2 Combine like terms: 5x + -2x = 3x 1.5 + 3x = 2 Solving 1.5 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 3x = 2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3x = 2 + -1.5 3x = 2 + -1.5 Combine like terms: 2 + -1.5 = 0.5 3x = 0.5 Divide each side by '3'. x = 0.1666666667 Simplifying x = 0.1666666667
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