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Simplifying (x + 2) + -3(x + 8) = -5(2x + 1) + -1 Reorder the terms: (2 + x) + -3(x + 8) = -5(2x + 1) + -1 Remove parenthesis around (2 + x) 2 + x + -3(x + 8) = -5(2x + 1) + -1 Reorder the terms: 2 + x + -3(8 + x) = -5(2x + 1) + -1 2 + x + (8 * -3 + x * -3) = -5(2x + 1) + -1 2 + x + (-24 + -3x) = -5(2x + 1) + -1 Reorder the terms: 2 + -24 + x + -3x = -5(2x + 1) + -1 Combine like terms: 2 + -24 = -22 -22 + x + -3x = -5(2x + 1) + -1 Combine like terms: x + -3x = -2x -22 + -2x = -5(2x + 1) + -1 Reorder the terms: -22 + -2x = -5(1 + 2x) + -1 -22 + -2x = (1 * -5 + 2x * -5) + -1 -22 + -2x = (-5 + -10x) + -1 Reorder the terms: -22 + -2x = -5 + -1 + -10x Combine like terms: -5 + -1 = -6 -22 + -2x = -6 + -10x Solving -22 + -2x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -22 + -2x + 10x = -6 + -10x + 10x Combine like terms: -2x + 10x = 8x -22 + 8x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 -22 + 8x = -6 + 0 -22 + 8x = -6 Add '22' to each side of the equation. -22 + 22 + 8x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = -6 + 22 8x = -6 + 22 Combine like terms: -6 + 22 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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