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Simplifying x + 6 = 1.5(12 + 2x) Reorder the terms: 6 + x = 1.5(12 + 2x) 6 + x = (12 * 1.5 + 2x * 1.5) 6 + x = (18 + 3x) Solving 6 + x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + x + -3x = 18 + 3x + -3x Combine like terms: x + -3x = -2x 6 + -2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -2x = 18 + 0 6 + -2x = 18 Add '-6' to each side of the equation. 6 + -6 + -2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 18 + -6 -2x = 18 + -6 Combine like terms: 18 + -6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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