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Simplifying 10 + 0.5(2x + -1) = 4x + -2 Reorder the terms: 10 + 0.5(-1 + 2x) = 4x + -2 10 + (-1 * 0.5 + 2x * 0.5) = 4x + -2 10 + (-0.5 + 1x) = 4x + -2 Combine like terms: 10 + -0.5 = 9.5 9.5 + 1x = 4x + -2 Reorder the terms: 9.5 + 1x = -2 + 4x Solving 9.5 + 1x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9.5 + 1x + -4x = -2 + 4x + -4x Combine like terms: 1x + -4x = -3x 9.5 + -3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 9.5 + -3x = -2 + 0 9.5 + -3x = -2 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -3x = -2 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -3x = -2 + -9.5 -3x = -2 + -9.5 Combine like terms: -2 + -9.5 = -11.5 -3x = -11.5 Divide each side by '-3'. x = 3.833333333 Simplifying x = 3.833333333
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