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Simplifying 3x + -5 = 13 + -3(x + 8) + -32 + x Reorder the terms: -5 + 3x = 13 + -3(x + 8) + -32 + x Reorder the terms: -5 + 3x = 13 + -3(8 + x) + -32 + x -5 + 3x = 13 + (8 * -3 + x * -3) + -32 + x -5 + 3x = 13 + (-24 + -3x) + -32 + x Reorder the terms: -5 + 3x = 13 + -24 + -32 + -3x + x Combine like terms: 13 + -24 = -11 -5 + 3x = -11 + -32 + -3x + x Combine like terms: -11 + -32 = -43 -5 + 3x = -43 + -3x + x Combine like terms: -3x + x = -2x -5 + 3x = -43 + -2x Solving -5 + 3x = -43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 3x + 2x = -43 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = -43 + 0 -5 + 5x = -43 Add '5' to each side of the equation. -5 + 5 + 5x = -43 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = -43 + 5 5x = -43 + 5 Combine like terms: -43 + 5 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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