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Simplifying 4(x + 1) + 5 = 2x + 9 Reorder the terms: 4(1 + x) + 5 = 2x + 9 (1 * 4 + x * 4) + 5 = 2x + 9 (4 + 4x) + 5 = 2x + 9 Reorder the terms: 4 + 5 + 4x = 2x + 9 Combine like terms: 4 + 5 = 9 9 + 4x = 2x + 9 Reorder the terms: 9 + 4x = 9 + 2x Add '-9' to each side of the equation. 9 + -9 + 4x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 0 + 4x = 9 + -9 + 2x 4x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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