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Simplifying 0 = 2 + (0.5x + 9) + -3(1.5x + 8) Reorder the terms: 0 = 2 + (9 + 0.5x) + -3(1.5x + 8) Remove parenthesis around (9 + 0.5x) 0 = 2 + 9 + 0.5x + -3(1.5x + 8) Reorder the terms: 0 = 2 + 9 + 0.5x + -3(8 + 1.5x) 0 = 2 + 9 + 0.5x + (8 * -3 + 1.5x * -3) 0 = 2 + 9 + 0.5x + (-24 + -4.5x) Reorder the terms: 0 = 2 + 9 + -24 + 0.5x + -4.5x Combine like terms: 2 + 9 = 11 0 = 11 + -24 + 0.5x + -4.5x Combine like terms: 11 + -24 = -13 0 = -13 + 0.5x + -4.5x Combine like terms: 0.5x + -4.5x = -4x 0 = -13 + -4x Solving 0 = -13 + -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. 0 + 4x = -13 + -4x + 4x Remove the zero: 4x = -13 + -4x + 4x Combine like terms: -4x + 4x = 0 4x = -13 + 0 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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