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Simplifying 3x + 2(x + 1) = 6 + -3x Reorder the terms: 3x + 2(1 + x) = 6 + -3x 3x + (1 * 2 + x * 2) = 6 + -3x 3x + (2 + 2x) = 6 + -3x Reorder the terms: 2 + 3x + 2x = 6 + -3x Combine like terms: 3x + 2x = 5x 2 + 5x = 6 + -3x Solving 2 + 5x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 5x + 3x = 6 + -3x + 3x Combine like terms: 5x + 3x = 8x 2 + 8x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 8x = 6 + 0 2 + 8x = 6 Add '-2' to each side of the equation. 2 + -2 + 8x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 6 + -2 8x = 6 + -2 Combine like terms: 6 + -2 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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