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Simplifying 12 + -4x = -8(7x + 5) Reorder the terms: 12 + -4x = -8(5 + 7x) 12 + -4x = (5 * -8 + 7x * -8) 12 + -4x = (-40 + -56x) Solving 12 + -4x = -40 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 12 + -4x + 56x = -40 + -56x + 56x Combine like terms: -4x + 56x = 52x 12 + 52x = -40 + -56x + 56x Combine like terms: -56x + 56x = 0 12 + 52x = -40 + 0 12 + 52x = -40 Add '-12' to each side of the equation. 12 + -12 + 52x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + 52x = -40 + -12 52x = -40 + -12 Combine like terms: -40 + -12 = -52 52x = -52 Divide each side by '52'. x = -1 Simplifying x = -1
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