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Simplifying 6x + 5 = 5 + -1(3x + -2) Reorder the terms: 5 + 6x = 5 + -1(3x + -2) Reorder the terms: 5 + 6x = 5 + -1(-2 + 3x) 5 + 6x = 5 + (-2 * -1 + 3x * -1) 5 + 6x = 5 + (2 + -3x) Combine like terms: 5 + 2 = 7 5 + 6x = 7 + -3x Solving 5 + 6x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 6x + 3x = 7 + -3x + 3x Combine like terms: 6x + 3x = 9x 5 + 9x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 9x = 7 + 0 5 + 9x = 7 Add '-5' to each side of the equation. 5 + -5 + 9x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 7 + -5 9x = 7 + -5 Combine like terms: 7 + -5 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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