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Simplifying 0.5(x + -3) = 2x + 1 Reorder the terms: 0.5(-3 + x) = 2x + 1 (-3 * 0.5 + x * 0.5) = 2x + 1 (-1.5 + 0.5x) = 2x + 1 Reorder the terms: -1.5 + 0.5x = 1 + 2x Solving -1.5 + 0.5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1.5 + 0.5x + -2x = 1 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -1.5 + -1.5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.5 + -1.5x = 1 + 0 -1.5 + -1.5x = 1 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1.5x = 1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.5x = 1 + 1.5 -1.5x = 1 + 1.5 Combine like terms: 1 + 1.5 = 2.5 -1.5x = 2.5 Divide each side by '-1.5'. x = -1.666666667 Simplifying x = -1.666666667
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