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Simplifying 8x + 3(2x + -1) = 5x + 6 Reorder the terms: 8x + 3(-1 + 2x) = 5x + 6 8x + (-1 * 3 + 2x * 3) = 5x + 6 8x + (-3 + 6x) = 5x + 6 Reorder the terms: -3 + 8x + 6x = 5x + 6 Combine like terms: 8x + 6x = 14x -3 + 14x = 5x + 6 Reorder the terms: -3 + 14x = 6 + 5x Solving -3 + 14x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 14x + -5x = 6 + 5x + -5x Combine like terms: 14x + -5x = 9x -3 + 9x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 9x = 6 + 0 -3 + 9x = 6 Add '3' to each side of the equation. -3 + 3 + 9x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 6 + 3 9x = 6 + 3 Combine like terms: 6 + 3 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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