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Simplifying 6x + 6 = 7 + -1(8x + -5) Reorder the terms: 6 + 6x = 7 + -1(8x + -5) Reorder the terms: 6 + 6x = 7 + -1(-5 + 8x) 6 + 6x = 7 + (-5 * -1 + 8x * -1) 6 + 6x = 7 + (5 + -8x) Combine like terms: 7 + 5 = 12 6 + 6x = 12 + -8x Solving 6 + 6x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x 6 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 14x = 12 + 0 6 + 14x = 12 Add '-6' to each side of the equation. 6 + -6 + 14x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 12 + -6 14x = 12 + -6 Combine like terms: 12 + -6 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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