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Simplifying 3x + 14 + -5x = -2(3x + -7) Reorder the terms: 14 + 3x + -5x = -2(3x + -7) Combine like terms: 3x + -5x = -2x 14 + -2x = -2(3x + -7) Reorder the terms: 14 + -2x = -2(-7 + 3x) 14 + -2x = (-7 * -2 + 3x * -2) 14 + -2x = (14 + -6x) Add '-14' to each side of the equation. 14 + -14 + -2x = 14 + -14 + -6x Combine like terms: 14 + -14 = 0 0 + -2x = 14 + -14 + -6x -2x = 14 + -14 + -6x Combine like terms: 14 + -14 = 0 -2x = 0 + -6x -2x = -6x Solving -2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2x + 6x = -6x + 6x Combine like terms: -2x + 6x = 4x 4x = -6x + 6x Combine like terms: -6x + 6x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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