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Simplifying 7x + 9 + -3x = 12 + -13x + -14 Reorder the terms: 9 + 7x + -3x = 12 + -13x + -14 Combine like terms: 7x + -3x = 4x 9 + 4x = 12 + -13x + -14 Reorder the terms: 9 + 4x = 12 + -14 + -13x Combine like terms: 12 + -14 = -2 9 + 4x = -2 + -13x Solving 9 + 4x = -2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 9 + 4x + 13x = -2 + -13x + 13x Combine like terms: 4x + 13x = 17x 9 + 17x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 9 + 17x = -2 + 0 9 + 17x = -2 Add '-9' to each side of the equation. 9 + -9 + 17x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 17x = -2 + -9 17x = -2 + -9 Combine like terms: -2 + -9 = -11 17x = -11 Divide each side by '17'. x = -0.6470588235 Simplifying x = -0.6470588235
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