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Simplifying 7x + 2 = 5 + -1(6x + -5) Reorder the terms: 2 + 7x = 5 + -1(6x + -5) Reorder the terms: 2 + 7x = 5 + -1(-5 + 6x) 2 + 7x = 5 + (-5 * -1 + 6x * -1) 2 + 7x = 5 + (5 + -6x) Combine like terms: 5 + 5 = 10 2 + 7x = 10 + -6x Solving 2 + 7x = 10 + -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. 2 + 7x + 6x = 10 + -6x + 6x Combine like terms: 7x + 6x = 13x 2 + 13x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 13x = 10 + 0 2 + 13x = 10 Add '-2' to each side of the equation. 2 + -2 + 13x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 10 + -2 13x = 10 + -2 Combine like terms: 10 + -2 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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