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Simplifying 3x + 12 = 0.5(5x + 6) Reorder the terms: 12 + 3x = 0.5(5x + 6) Reorder the terms: 12 + 3x = 0.5(6 + 5x) 12 + 3x = (6 * 0.5 + 5x * 0.5) 12 + 3x = (3 + 2.5x) Solving 12 + 3x = 3 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 12 + 3x + -2.5x = 3 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x 12 + 0.5x = 3 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 12 + 0.5x = 3 + 0.0 12 + 0.5x = 3 Add '-12' to each side of the equation. 12 + -12 + 0.5x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 0.5x = 3 + -12 0.5x = 3 + -12 Combine like terms: 3 + -12 = -9 0.5x = -9 Divide each side by '0.5'. x = -18 Simplifying x = -18
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