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Simplifying 2 + -1(5x + 3) = 3(x + 6) + -2 Reorder the terms: 2 + -1(3 + 5x) = 3(x + 6) + -2 2 + (3 * -1 + 5x * -1) = 3(x + 6) + -2 2 + (-3 + -5x) = 3(x + 6) + -2 Combine like terms: 2 + -3 = -1 -1 + -5x = 3(x + 6) + -2 Reorder the terms: -1 + -5x = 3(6 + x) + -2 -1 + -5x = (6 * 3 + x * 3) + -2 -1 + -5x = (18 + 3x) + -2 Reorder the terms: -1 + -5x = 18 + -2 + 3x Combine like terms: 18 + -2 = 16 -1 + -5x = 16 + 3x Solving -1 + -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. -1 + -5x + -3x = 16 + 3x + -3x Combine like terms: -5x + -3x = -8x -1 + -8x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -8x = 16 + 0 -1 + -8x = 16 Add '1' to each side of the equation. -1 + 1 + -8x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 16 + 1 -8x = 16 + 1 Combine like terms: 16 + 1 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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