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Simplifying 5x + 7 = 9 + -1(8x + -6) Reorder the terms: 7 + 5x = 9 + -1(8x + -6) Reorder the terms: 7 + 5x = 9 + -1(-6 + 8x) 7 + 5x = 9 + (-6 * -1 + 8x * -1) 7 + 5x = 9 + (6 + -8x) Combine like terms: 9 + 6 = 15 7 + 5x = 15 + -8x Solving 7 + 5x = 15 + -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. 7 + 5x + 8x = 15 + -8x + 8x Combine like terms: 5x + 8x = 13x 7 + 13x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 13x = 15 + 0 7 + 13x = 15 Add '-7' to each side of the equation. 7 + -7 + 13x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 15 + -7 13x = 15 + -7 Combine like terms: 15 + -7 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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