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Simplifying 4(x + 12) + 2 = 9x Reorder the terms: 4(12 + x) + 2 = 9x (12 * 4 + x * 4) + 2 = 9x (48 + 4x) + 2 = 9x Reorder the terms: 48 + 2 + 4x = 9x Combine like terms: 48 + 2 = 50 50 + 4x = 9x Solving 50 + 4x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 50 + 4x + -9x = 9x + -9x Combine like terms: 4x + -9x = -5x 50 + -5x = 9x + -9x Combine like terms: 9x + -9x = 0 50 + -5x = 0 Add '-50' to each side of the equation. 50 + -50 + -5x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 0 + -50 -5x = 0 + -50 Combine like terms: 0 + -50 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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