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Simplifying 5x + 8(x + -7) = 5(x + -8) Reorder the terms: 5x + 8(-7 + x) = 5(x + -8) 5x + (-7 * 8 + x * 8) = 5(x + -8) 5x + (-56 + 8x) = 5(x + -8) Reorder the terms: -56 + 5x + 8x = 5(x + -8) Combine like terms: 5x + 8x = 13x -56 + 13x = 5(x + -8) Reorder the terms: -56 + 13x = 5(-8 + x) -56 + 13x = (-8 * 5 + x * 5) -56 + 13x = (-40 + 5x) Solving -56 + 13x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -56 + 13x + -5x = -40 + 5x + -5x Combine like terms: 13x + -5x = 8x -56 + 8x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 8x = -40 + 0 -56 + 8x = -40 Add '56' to each side of the equation. -56 + 56 + 8x = -40 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = -40 + 56 8x = -40 + 56 Combine like terms: -40 + 56 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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