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Simplifying 2(7 + x) = 8(x + -5) (7 * 2 + x * 2) = 8(x + -5) (14 + 2x) = 8(x + -5) Reorder the terms: 14 + 2x = 8(-5 + x) 14 + 2x = (-5 * 8 + x * 8) 14 + 2x = (-40 + 8x) Solving 14 + 2x = -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 + 2x + -8x = -40 + 8x + -8x Combine like terms: 2x + -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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