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Simplifying 3x + -8 + 4 + 5x + -2x = x + -3 + 2x + -1 + -9 Reorder the terms: -8 + 4 + 3x + 5x + -2x = x + -3 + 2x + -1 + -9 Combine like terms: -8 + 4 = -4 -4 + 3x + 5x + -2x = x + -3 + 2x + -1 + -9 Combine like terms: 3x + 5x = 8x -4 + 8x + -2x = x + -3 + 2x + -1 + -9 Combine like terms: 8x + -2x = 6x -4 + 6x = x + -3 + 2x + -1 + -9 Reorder the terms: -4 + 6x = -3 + -1 + -9 + x + 2x Combine like terms: -3 + -1 = -4 -4 + 6x = -4 + -9 + x + 2x Combine like terms: -4 + -9 = -13 -4 + 6x = -13 + x + 2x Combine like terms: x + 2x = 3x -4 + 6x = -13 + 3x Solving -4 + 6x = -13 + 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. -4 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x -4 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 3x = -13 + 0 -4 + 3x = -13 Add '4' to each side of the equation. -4 + 4 + 3x = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -13 + 4 3x = -13 + 4 Combine like terms: -13 + 4 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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