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Simplifying 2(x + 1) + 3x = x + 6 Reorder the terms: 2(1 + x) + 3x = x + 6 (1 * 2 + x * 2) + 3x = x + 6 (2 + 2x) + 3x = x + 6 Combine like terms: 2x + 3x = 5x 2 + 5x = x + 6 Reorder the terms: 2 + 5x = 6 + x Solving 2 + 5x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 2 + 4x = 6 + 0 2 + 4x = 6 Add '-2' to each side of the equation. 2 + -2 + 4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 6 + -2 4x = 6 + -2 Combine like terms: 6 + -2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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