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Simplifying 4(x + 2) = 2(x + 1) + 3x + 1 Reorder the terms: 4(2 + x) = 2(x + 1) + 3x + 1 (2 * 4 + x * 4) = 2(x + 1) + 3x + 1 (8 + 4x) = 2(x + 1) + 3x + 1 Reorder the terms: 8 + 4x = 2(1 + x) + 3x + 1 8 + 4x = (1 * 2 + x * 2) + 3x + 1 8 + 4x = (2 + 2x) + 3x + 1 Reorder the terms: 8 + 4x = 2 + 1 + 2x + 3x Combine like terms: 2 + 1 = 3 8 + 4x = 3 + 2x + 3x Combine like terms: 2x + 3x = 5x 8 + 4x = 3 + 5x Solving 8 + 4x = 3 + 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 = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = 3 + 0 8 + -1x = 3 Add '-8' to each side of the equation. 8 + -8 + -1x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 3 + -8 -1x = 3 + -8 Combine like terms: 3 + -8 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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