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Simplifying 2x + -0.5(19 + -2x) = 0.5(2x + -11) 2x + (19 * -0.5 + -2x * -0.5) = 0.5(2x + -11) 2x + (-9.5 + 1x) = 0.5(2x + -11) Reorder the terms: -9.5 + 2x + 1x = 0.5(2x + -11) Combine like terms: 2x + 1x = 3x -9.5 + 3x = 0.5(2x + -11) Reorder the terms: -9.5 + 3x = 0.5(-11 + 2x) -9.5 + 3x = (-11 * 0.5 + 2x * 0.5) -9.5 + 3x = (-5.5 + 1x) Solving -9.5 + 3x = -5.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9.5 + 3x + -1x = -5.5 + 1x + -1x Combine like terms: 3x + -1x = 2x -9.5 + 2x = -5.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -9.5 + 2x = -5.5 + 0 -9.5 + 2x = -5.5 Add '9.5' to each side of the equation. -9.5 + 9.5 + 2x = -5.5 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + 2x = -5.5 + 9.5 2x = -5.5 + 9.5 Combine like terms: -5.5 + 9.5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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