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Simplifying 6 + -2x + -9 + 3x + 8 + 8 + 4x + 2 = -3x + 1 Reorder the terms: 6 + -9 + 8 + 8 + 2 + -2x + 3x + 4x = -3x + 1 Combine like terms: 6 + -9 = -3 -3 + 8 + 8 + 2 + -2x + 3x + 4x = -3x + 1 Combine like terms: -3 + 8 = 5 5 + 8 + 2 + -2x + 3x + 4x = -3x + 1 Combine like terms: 5 + 8 = 13 13 + 2 + -2x + 3x + 4x = -3x + 1 Combine like terms: 13 + 2 = 15 15 + -2x + 3x + 4x = -3x + 1 Combine like terms: -2x + 3x = 1x 15 + 1x + 4x = -3x + 1 Combine like terms: 1x + 4x = 5x 15 + 5x = -3x + 1 Reorder the terms: 15 + 5x = 1 + -3x Solving 15 + 5x = 1 + -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. 15 + 5x + 3x = 1 + -3x + 3x Combine like terms: 5x + 3x = 8x 15 + 8x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 8x = 1 + 0 15 + 8x = 1 Add '-15' to each side of the equation. 15 + -15 + 8x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 1 + -15 8x = 1 + -15 Combine like terms: 1 + -15 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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