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Simplifying 7x + 4 + -4x + 9 = 17x + -9 + 14x + 3 Reorder the terms: 4 + 9 + 7x + -4x = 17x + -9 + 14x + 3 Combine like terms: 4 + 9 = 13 13 + 7x + -4x = 17x + -9 + 14x + 3 Combine like terms: 7x + -4x = 3x 13 + 3x = 17x + -9 + 14x + 3 Reorder the terms: 13 + 3x = -9 + 3 + 17x + 14x Combine like terms: -9 + 3 = -6 13 + 3x = -6 + 17x + 14x Combine like terms: 17x + 14x = 31x 13 + 3x = -6 + 31x Solving 13 + 3x = -6 + 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. 13 + 3x + -31x = -6 + 31x + -31x Combine like terms: 3x + -31x = -28x 13 + -28x = -6 + 31x + -31x Combine like terms: 31x + -31x = 0 13 + -28x = -6 + 0 13 + -28x = -6 Add '-13' to each side of the equation. 13 + -13 + -28x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -28x = -6 + -13 -28x = -6 + -13 Combine like terms: -6 + -13 = -19 -28x = -19 Divide each side by '-28'. x = 0.6785714286 Simplifying x = 0.6785714286
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