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Simplifying -3x + 17 + 6x = 9 + 7x + -24 Reorder the terms: 17 + -3x + 6x = 9 + 7x + -24 Combine like terms: -3x + 6x = 3x 17 + 3x = 9 + 7x + -24 Reorder the terms: 17 + 3x = 9 + -24 + 7x Combine like terms: 9 + -24 = -15 17 + 3x = -15 + 7x Solving 17 + 3x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 3x + -7x = -15 + 7x + -7x Combine like terms: 3x + -7x = -4x 17 + -4x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -4x = -15 + 0 17 + -4x = -15 Add '-17' to each side of the equation. 17 + -17 + -4x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -15 + -17 -4x = -15 + -17 Combine like terms: -15 + -17 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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