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Simplifying 12x + 14 = 8(x + -7) Reorder the terms: 14 + 12x = 8(x + -7) Reorder the terms: 14 + 12x = 8(-7 + x) 14 + 12x = (-7 * 8 + x * 8) 14 + 12x = (-56 + 8x) Solving 14 + 12x = -56 + 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 + 12x + -8x = -56 + 8x + -8x Combine like terms: 12x + -8x = 4x 14 + 4x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 4x = -56 + 0 14 + 4x = -56 Add '-14' to each side of the equation. 14 + -14 + 4x = -56 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -56 + -14 4x = -56 + -14 Combine like terms: -56 + -14 = -70 4x = -70 Divide each side by '4'. x = -17.5 Simplifying x = -17.5
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