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Simplifying 4x + 5 + -7x = 12 + -17x + -14x + -7 Reorder the terms: 5 + 4x + -7x = 12 + -17x + -14x + -7 Combine like terms: 4x + -7x = -3x 5 + -3x = 12 + -17x + -14x + -7 Reorder the terms: 5 + -3x = 12 + -7 + -17x + -14x Combine like terms: 12 + -7 = 5 5 + -3x = 5 + -17x + -14x Combine like terms: -17x + -14x = -31x 5 + -3x = 5 + -31x Add '-5' to each side of the equation. 5 + -5 + -3x = 5 + -5 + -31x Combine like terms: 5 + -5 = 0 0 + -3x = 5 + -5 + -31x -3x = 5 + -5 + -31x Combine like terms: 5 + -5 = 0 -3x = 0 + -31x -3x = -31x Solving -3x = -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -3x + 31x = -31x + 31x Combine like terms: -3x + 31x = 28x 28x = -31x + 31x Combine like terms: -31x + 31x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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