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Simplifying 2(x + -1) + 3x + 8 = 3x + 16 Reorder the terms: 2(-1 + x) + 3x + 8 = 3x + 16 (-1 * 2 + x * 2) + 3x + 8 = 3x + 16 (-2 + 2x) + 3x + 8 = 3x + 16 Reorder the terms: -2 + 8 + 2x + 3x = 3x + 16 Combine like terms: -2 + 8 = 6 6 + 2x + 3x = 3x + 16 Combine like terms: 2x + 3x = 5x 6 + 5x = 3x + 16 Reorder the terms: 6 + 5x = 16 + 3x Solving 6 + 5x = 16 + 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. 6 + 5x + -3x = 16 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 16 + 0 6 + 2x = 16 Add '-6' to each side of the equation. 6 + -6 + 2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 16 + -6 2x = 16 + -6 Combine like terms: 16 + -6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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