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Simplifying 3x + 4 + 10 + -17 = 14 + -23x + 16 + -7x Reorder the terms: 4 + 10 + -17 + 3x = 14 + -23x + 16 + -7x Combine like terms: 4 + 10 = 14 14 + -17 + 3x = 14 + -23x + 16 + -7x Combine like terms: 14 + -17 = -3 -3 + 3x = 14 + -23x + 16 + -7x Reorder the terms: -3 + 3x = 14 + 16 + -23x + -7x Combine like terms: 14 + 16 = 30 -3 + 3x = 30 + -23x + -7x Combine like terms: -23x + -7x = -30x -3 + 3x = 30 + -30x Solving -3 + 3x = 30 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -3 + 3x + 30x = 30 + -30x + 30x Combine like terms: 3x + 30x = 33x -3 + 33x = 30 + -30x + 30x Combine like terms: -30x + 30x = 0 -3 + 33x = 30 + 0 -3 + 33x = 30 Add '3' to each side of the equation. -3 + 3 + 33x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 33x = 30 + 3 33x = 30 + 3 Combine like terms: 30 + 3 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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