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Simplifying 7x + 2 = 6 + -1(7x + -2) Reorder the terms: 2 + 7x = 6 + -1(7x + -2) Reorder the terms: 2 + 7x = 6 + -1(-2 + 7x) 2 + 7x = 6 + (-2 * -1 + 7x * -1) 2 + 7x = 6 + (2 + -7x) Combine like terms: 6 + 2 = 8 2 + 7x = 8 + -7x Solving 2 + 7x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 7x + 7x = 8 + -7x + 7x Combine like terms: 7x + 7x = 14x 2 + 14x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 14x = 8 + 0 2 + 14x = 8 Add '-2' to each side of the equation. 2 + -2 + 14x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 8 + -2 14x = 8 + -2 Combine like terms: 8 + -2 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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