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Simplifying (3x + 4) = 0.5(31 + -1x + -9) Reorder the terms: (4 + 3x) = 0.5(31 + -1x + -9) Remove parenthesis around (4 + 3x) 4 + 3x = 0.5(31 + -1x + -9) Reorder the terms: 4 + 3x = 0.5(31 + -9 + -1x) Combine like terms: 31 + -9 = 22 4 + 3x = 0.5(22 + -1x) 4 + 3x = (22 * 0.5 + -1x * 0.5) 4 + 3x = (11 + -0.5x) Solving 4 + 3x = 11 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 4 + 3x + 0.5x = 11 + -0.5x + 0.5x Combine like terms: 3x + 0.5x = 3.5x 4 + 3.5x = 11 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 4 + 3.5x = 11 + 0.0 4 + 3.5x = 11 Add '-4' to each side of the equation. 4 + -4 + 3.5x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5x = 11 + -4 3.5x = 11 + -4 Combine like terms: 11 + -4 = 7 3.5x = 7 Divide each side by '3.5'. x = 2 Simplifying x = 2
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