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Simplifying 12 = 5x + 8(x + -5) Reorder the terms: 12 = 5x + 8(-5 + x) 12 = 5x + (-5 * 8 + x * 8) 12 = 5x + (-40 + 8x) Reorder the terms: 12 = -40 + 5x + 8x Combine like terms: 5x + 8x = 13x 12 = -40 + 13x Solving 12 = -40 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + -13x = -40 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -13x = -40 + 0 12 + -13x = -40 Add '-12' to each side of the equation. 12 + -12 + -13x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -40 + -12 -13x = -40 + -12 Combine like terms: -40 + -12 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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