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Simplifying 4(x + 2) = 5(x + 1) Reorder the terms: 4(2 + x) = 5(x + 1) (2 * 4 + x * 4) = 5(x + 1) (8 + 4x) = 5(x + 1) Reorder the terms: 8 + 4x = 5(1 + x) 8 + 4x = (1 * 5 + x * 5) 8 + 4x = (5 + 5x) Solving 8 + 4x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = 5 + 0 8 + -1x = 5 Add '-8' to each side of the equation. 8 + -8 + -1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 5 + -8 -1x = 5 + -8 Combine like terms: 5 + -8 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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