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Simplifying -7(2x + -2) = -8(x + 5) Reorder the terms: -7(-2 + 2x) = -8(x + 5) (-2 * -7 + 2x * -7) = -8(x + 5) (14 + -14x) = -8(x + 5) Reorder the terms: 14 + -14x = -8(5 + x) 14 + -14x = (5 * -8 + x * -8) 14 + -14x = (-40 + -8x) Solving 14 + -14x = -40 + -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 + -14x + 8x = -40 + -8x + 8x Combine like terms: -14x + 8x = -6x 14 + -6x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + -6x = -40 + 0 14 + -6x = -40 Add '-14' to each side of the equation. 14 + -14 + -6x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -40 + -14 -6x = -40 + -14 Combine like terms: -40 + -14 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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