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Simplifying 3(x + 1) + 5x = 2(x + 1) Reorder the terms: 3(1 + x) + 5x = 2(x + 1) (1 * 3 + x * 3) + 5x = 2(x + 1) (3 + 3x) + 5x = 2(x + 1) Combine like terms: 3x + 5x = 8x 3 + 8x = 2(x + 1) Reorder the terms: 3 + 8x = 2(1 + x) 3 + 8x = (1 * 2 + x * 2) 3 + 8x = (2 + 2x) Solving 3 + 8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 2 + 0 3 + 6x = 2 Add '-3' to each side of the equation. 3 + -3 + 6x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 2 + -3 6x = 2 + -3 Combine like terms: 2 + -3 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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