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Simplifying 4x + 5(x + 1) = 2x + 12 Reorder the terms: 4x + 5(1 + x) = 2x + 12 4x + (1 * 5 + x * 5) = 2x + 12 4x + (5 + 5x) = 2x + 12 Reorder the terms: 5 + 4x + 5x = 2x + 12 Combine like terms: 4x + 5x = 9x 5 + 9x = 2x + 12 Reorder the terms: 5 + 9x = 12 + 2x Solving 5 + 9x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 9x + -2x = 12 + 2x + -2x Combine like terms: 9x + -2x = 7x 5 + 7x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 7x = 12 + 0 5 + 7x = 12 Add '-5' to each side of the equation. 5 + -5 + 7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 12 + -5 7x = 12 + -5 Combine like terms: 12 + -5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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