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Simplifying 8x + -1(5 + 2x) = 3(x + 3) + 1 8x + (5 * -1 + 2x * -1) = 3(x + 3) + 1 8x + (-5 + -2x) = 3(x + 3) + 1 Reorder the terms: -5 + 8x + -2x = 3(x + 3) + 1 Combine like terms: 8x + -2x = 6x -5 + 6x = 3(x + 3) + 1 Reorder the terms: -5 + 6x = 3(3 + x) + 1 -5 + 6x = (3 * 3 + x * 3) + 1 -5 + 6x = (9 + 3x) + 1 Reorder the terms: -5 + 6x = 9 + 1 + 3x Combine like terms: 9 + 1 = 10 -5 + 6x = 10 + 3x Solving -5 + 6x = 10 + 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. -5 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -5 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 3x = 10 + 0 -5 + 3x = 10 Add '5' to each side of the equation. -5 + 5 + 3x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 10 + 5 3x = 10 + 5 Combine like terms: 10 + 5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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