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Simplifying 14 + -4x + 8x = -2(-4x + 7) Combine like terms: -4x + 8x = 4x 14 + 4x = -2(-4x + 7) Reorder the terms: 14 + 4x = -2(7 + -4x) 14 + 4x = (7 * -2 + -4x * -2) 14 + 4x = (-14 + 8x) Solving 14 + 4x = -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 + 4x + -8x = -14 + 8x + -8x Combine like terms: 4x + -8x = -4x 14 + -4x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -4x = -14 + 0 14 + -4x = -14 Add '-14' to each side of the equation. 14 + -14 + -4x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -14 + -14 -4x = -14 + -14 Combine like terms: -14 + -14 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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