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Simplifying 4x + -2x + 6 = 3x + 8 + -17 Reorder the terms: 6 + 4x + -2x = 3x + 8 + -17 Combine like terms: 4x + -2x = 2x 6 + 2x = 3x + 8 + -17 Reorder the terms: 6 + 2x = 8 + -17 + 3x Combine like terms: 8 + -17 = -9 6 + 2x = -9 + 3x Solving 6 + 2x = -9 + 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. 6 + 2x + -3x = -9 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = -9 + 0 6 + -1x = -9 Add '-6' to each side of the equation. 6 + -6 + -1x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -9 + -6 -1x = -9 + -6 Combine like terms: -9 + -6 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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