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Simplifying 3(x + 1) + 2x + 3 = 2x + 8 + 2x + -1 Reorder the terms: 3(1 + x) + 2x + 3 = 2x + 8 + 2x + -1 (1 * 3 + x * 3) + 2x + 3 = 2x + 8 + 2x + -1 (3 + 3x) + 2x + 3 = 2x + 8 + 2x + -1 Reorder the terms: 3 + 3 + 3x + 2x = 2x + 8 + 2x + -1 Combine like terms: 3 + 3 = 6 6 + 3x + 2x = 2x + 8 + 2x + -1 Combine like terms: 3x + 2x = 5x 6 + 5x = 2x + 8 + 2x + -1 Reorder the terms: 6 + 5x = 8 + -1 + 2x + 2x Combine like terms: 8 + -1 = 7 6 + 5x = 7 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 5x = 7 + 4x Solving 6 + 5x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 6 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 1x = 7 + 0 6 + 1x = 7 Add '-6' to each side of the equation. 6 + -6 + 1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 7 + -6 1x = 7 + -6 Combine like terms: 7 + -6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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