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Simplifying 14x + (22)(12) = 10(x + 12) Multiply 22 * 12 14x + 264 = 10(x + 12) Reorder the terms: 264 + 14x = 10(x + 12) Reorder the terms: 264 + 14x = 10(12 + x) 264 + 14x = (12 * 10 + x * 10) 264 + 14x = (120 + 10x) Solving 264 + 14x = 120 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 264 + 14x + -10x = 120 + 10x + -10x Combine like terms: 14x + -10x = 4x 264 + 4x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 264 + 4x = 120 + 0 264 + 4x = 120 Add '-264' to each side of the equation. 264 + -264 + 4x = 120 + -264 Combine like terms: 264 + -264 = 0 0 + 4x = 120 + -264 4x = 120 + -264 Combine like terms: 120 + -264 = -144 4x = -144 Divide each side by '4'. x = -36 Simplifying x = -36
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