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Simplifying 0.5(x + 22) = 3(3x + -2) Reorder the terms: 0.5(22 + x) = 3(3x + -2) (22 * 0.5 + x * 0.5) = 3(3x + -2) (11 + 0.5x) = 3(3x + -2) Reorder the terms: 11 + 0.5x = 3(-2 + 3x) 11 + 0.5x = (-2 * 3 + 3x * 3) 11 + 0.5x = (-6 + 9x) Solving 11 + 0.5x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 11 + 0.5x + -9x = -6 + 9x + -9x Combine like terms: 0.5x + -9x = -8.5x 11 + -8.5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + -8.5x = -6 + 0 11 + -8.5x = -6 Add '-11' to each side of the equation. 11 + -11 + -8.5x = -6 + -11 Combine like terms: 11 + -11 = 0 0 + -8.5x = -6 + -11 -8.5x = -6 + -11 Combine like terms: -6 + -11 = -17 -8.5x = -17 Divide each side by '-8.5'. x = 2 Simplifying x = 2
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