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Simplifying 6x + 5 = 8 + -1(6x + -4) Reorder the terms: 5 + 6x = 8 + -1(6x + -4) Reorder the terms: 5 + 6x = 8 + -1(-4 + 6x) 5 + 6x = 8 + (-4 * -1 + 6x * -1) 5 + 6x = 8 + (4 + -6x) Combine like terms: 8 + 4 = 12 5 + 6x = 12 + -6x Solving 5 + 6x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 6x + 6x = 12 + -6x + 6x Combine like terms: 6x + 6x = 12x 5 + 12x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 12x = 12 + 0 5 + 12x = 12 Add '-5' to each side of the equation. 5 + -5 + 12x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 12 + -5 12x = 12 + -5 Combine like terms: 12 + -5 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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