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Simplifying 4x + -2 + 6 = 3x + 8 + -17 Reorder the terms: -2 + 6 + 4x = 3x + 8 + -17 Combine like terms: -2 + 6 = 4 4 + 4x = 3x + 8 + -17 Reorder the terms: 4 + 4x = 8 + -17 + 3x Combine like terms: 8 + -17 = -9 4 + 4x = -9 + 3x Solving 4 + 4x = -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. 4 + 4x + -3x = -9 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = -9 + 0 4 + 1x = -9 Add '-4' to each side of the equation. 4 + -4 + 1x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -9 + -4 1x = -9 + -4 Combine like terms: -9 + -4 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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