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Simplifying 8x + 5 = 8 + -1(4x + -5) Reorder the terms: 5 + 8x = 8 + -1(4x + -5) Reorder the terms: 5 + 8x = 8 + -1(-5 + 4x) 5 + 8x = 8 + (-5 * -1 + 4x * -1) 5 + 8x = 8 + (5 + -4x) Combine like terms: 8 + 5 = 13 5 + 8x = 13 + -4x Solving 5 + 8x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 8x + 4x = 13 + -4x + 4x Combine like terms: 8x + 4x = 12x 5 + 12x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 12x = 13 + 0 5 + 12x = 13 Add '-5' to each side of the equation. 5 + -5 + 12x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 13 + -5 12x = 13 + -5 Combine like terms: 13 + -5 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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