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Simplifying 24x + 12 = 22(12x + 6) Reorder the terms: 12 + 24x = 22(12x + 6) Reorder the terms: 12 + 24x = 22(6 + 12x) 12 + 24x = (6 * 22 + 12x * 22) 12 + 24x = (132 + 264x) Solving 12 + 24x = 132 + 264x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-264x' to each side of the equation. 12 + 24x + -264x = 132 + 264x + -264x Combine like terms: 24x + -264x = -240x 12 + -240x = 132 + 264x + -264x Combine like terms: 264x + -264x = 0 12 + -240x = 132 + 0 12 + -240x = 132 Add '-12' to each side of the equation. 12 + -12 + -240x = 132 + -12 Combine like terms: 12 + -12 = 0 0 + -240x = 132 + -12 -240x = 132 + -12 Combine like terms: 132 + -12 = 120 -240x = 120 Divide each side by '-240'. x = -0.5 Simplifying x = -0.5
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