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Simplifying 2(x + 2) = 8(x + -7) Reorder the terms: 2(2 + x) = 8(x + -7) (2 * 2 + x * 2) = 8(x + -7) (4 + 2x) = 8(x + -7) Reorder the terms: 4 + 2x = 8(-7 + x) 4 + 2x = (-7 * 8 + x * 8) 4 + 2x = (-56 + 8x) Solving 4 + 2x = -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. 4 + 2x + -8x = -56 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = -56 + 0 4 + -6x = -56 Add '-4' to each side of the equation. 4 + -4 + -6x = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -56 + -4 -6x = -56 + -4 Combine like terms: -56 + -4 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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