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Simplifying 7x + -4x + 2 = 8x + -17 Reorder the terms: 2 + 7x + -4x = 8x + -17 Combine like terms: 7x + -4x = 3x 2 + 3x = 8x + -17 Reorder the terms: 2 + 3x = -17 + 8x Solving 2 + 3x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 3x + -8x = -17 + 8x + -8x Combine like terms: 3x + -8x = -5x 2 + -5x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -5x = -17 + 0 2 + -5x = -17 Add '-2' to each side of the equation. 2 + -2 + -5x = -17 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -17 + -2 -5x = -17 + -2 Combine like terms: -17 + -2 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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