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Simplifying 3x + 6 = 4x + -17 Reorder the terms: 6 + 3x = 4x + -17 Reorder the terms: 6 + 3x = -17 + 4x Solving 6 + 3x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 3x + -4x = -17 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = -17 + 0 6 + -1x = -17 Add '-6' to each side of the equation. 6 + -6 + -1x = -17 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -17 + -6 -1x = -17 + -6 Combine like terms: -17 + -6 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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