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Simplifying -3x + 14 = 2(4x + -7) Reorder the terms: 14 + -3x = 2(4x + -7) Reorder the terms: 14 + -3x = 2(-7 + 4x) 14 + -3x = (-7 * 2 + 4x * 2) 14 + -3x = (-14 + 8x) Solving 14 + -3x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + -3x + -8x = -14 + 8x + -8x Combine like terms: -3x + -8x = -11x 14 + -11x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -11x = -14 + 0 14 + -11x = -14 Add '-14' to each side of the equation. 14 + -14 + -11x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = -14 + -14 -11x = -14 + -14 Combine like terms: -14 + -14 = -28 -11x = -28 Divide each side by '-11'. x = 2.545454545 Simplifying x = 2.545454545
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