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Simplifying (3x + 11) * 0.5 = (x + 2) Reorder the terms: (11 + 3x) * 0.5 = (x + 2) Reorder the terms for easier multiplication: 0.5(11 + 3x) = (x + 2) (11 * 0.5 + 3x * 0.5) = (x + 2) (5.5 + 1.5x) = (x + 2) Reorder the terms: 5.5 + 1.5x = (2 + x) Remove parenthesis around (2 + x) 5.5 + 1.5x = 2 + x Solving 5.5 + 1.5x = 2 + x 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. 5.5 + 1.5x + -1x = 2 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 5.5 + 0.5x = 2 + x + -1x Combine like terms: x + -1x = 0 5.5 + 0.5x = 2 + 0 5.5 + 0.5x = 2 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 0.5x = 2 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 0.5x = 2 + -5.5 0.5x = 2 + -5.5 Combine like terms: 2 + -5.5 = -3.5 0.5x = -3.5 Divide each side by '0.5'. x = -7 Simplifying x = -7
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