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Simplifying 4x + -5 = 9 + 2(x + 1) Reorder the terms: -5 + 4x = 9 + 2(x + 1) Reorder the terms: -5 + 4x = 9 + 2(1 + x) -5 + 4x = 9 + (1 * 2 + x * 2) -5 + 4x = 9 + (2 + 2x) Combine like terms: 9 + 2 = 11 -5 + 4x = 11 + 2x Solving -5 + 4x = 11 + 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 + 4x + -2x = 11 + 2x + -2x Combine like terms: 4x + -2x = 2x -5 + 2x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 2x = 11 + 0 -5 + 2x = 11 Add '5' to each side of the equation. -5 + 5 + 2x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 11 + 5 2x = 11 + 5 Combine like terms: 11 + 5 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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