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Simplifying 5x + 14 + -2x = 9 + -1(4x + 12) Reorder the terms: 14 + 5x + -2x = 9 + -1(4x + 12) Combine like terms: 5x + -2x = 3x 14 + 3x = 9 + -1(4x + 12) Reorder the terms: 14 + 3x = 9 + -1(12 + 4x) 14 + 3x = 9 + (12 * -1 + 4x * -1) 14 + 3x = 9 + (-12 + -4x) Combine like terms: 9 + -12 = -3 14 + 3x = -3 + -4x Solving 14 + 3x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 3x + 4x = -3 + -4x + 4x Combine like terms: 3x + 4x = 7x 14 + 7x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 7x = -3 + 0 14 + 7x = -3 Add '-14' to each side of the equation. 14 + -14 + 7x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -3 + -14 7x = -3 + -14 Combine like terms: -3 + -14 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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