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Simplifying 13 = 5 + 8(x + -5) Reorder the terms: 13 = 5 + 8(-5 + x) 13 = 5 + (-5 * 8 + x * 8) 13 = 5 + (-40 + 8x) Combine like terms: 5 + -40 = -35 13 = -35 + 8x Solving 13 = -35 + 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. 13 + -8x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -8x = -35 + 0 13 + -8x = -35 Add '-13' to each side of the equation. 13 + -13 + -8x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -35 + -13 -8x = -35 + -13 Combine like terms: -35 + -13 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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