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Simplifying 7x + 8 = 6 + -1(3x + -9) Reorder the terms: 8 + 7x = 6 + -1(3x + -9) Reorder the terms: 8 + 7x = 6 + -1(-9 + 3x) 8 + 7x = 6 + (-9 * -1 + 3x * -1) 8 + 7x = 6 + (9 + -3x) Combine like terms: 6 + 9 = 15 8 + 7x = 15 + -3x Solving 8 + 7x = 15 + -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. 8 + 7x + 3x = 15 + -3x + 3x Combine like terms: 7x + 3x = 10x 8 + 10x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 10x = 15 + 0 8 + 10x = 15 Add '-8' to each side of the equation. 8 + -8 + 10x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 15 + -8 10x = 15 + -8 Combine like terms: 15 + -8 = 7 10x = 7 Divide each side by '10'. x = 0.7 Simplifying x = 0.7
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