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Simplifying -8x + 14 = -3(4x + -7) Reorder the terms: 14 + -8x = -3(4x + -7) Reorder the terms: 14 + -8x = -3(-7 + 4x) 14 + -8x = (-7 * -3 + 4x * -3) 14 + -8x = (21 + -12x) Solving 14 + -8x = 21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 14 + -8x + 12x = 21 + -12x + 12x Combine like terms: -8x + 12x = 4x 14 + 4x = 21 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 4x = 21 + 0 14 + 4x = 21 Add '-14' to each side of the equation. 14 + -14 + 4x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 21 + -14 4x = 21 + -14 Combine like terms: 21 + -14 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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