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Simplifying 3(x + 9) = 12(-2x + -0.5) Reorder the terms: 3(9 + x) = 12(-2x + -0.5) (9 * 3 + x * 3) = 12(-2x + -0.5) (27 + 3x) = 12(-2x + -0.5) Reorder the terms: 27 + 3x = 12(-0.5 + -2x) 27 + 3x = (-0.5 * 12 + -2x * 12) 27 + 3x = (-6 + -24x) Solving 27 + 3x = -6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 27 + 3x + 24x = -6 + -24x + 24x Combine like terms: 3x + 24x = 27x 27 + 27x = -6 + -24x + 24x Combine like terms: -24x + 24x = 0 27 + 27x = -6 + 0 27 + 27x = -6 Add '-27' to each side of the equation. 27 + -27 + 27x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 27x = -6 + -27 27x = -6 + -27 Combine like terms: -6 + -27 = -33 27x = -33 Divide each side by '27'. x = -1.222222222 Simplifying x = -1.222222222
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