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Simplifying 8x + 7 = 8 + -1(7x + -6) Reorder the terms: 7 + 8x = 8 + -1(7x + -6) Reorder the terms: 7 + 8x = 8 + -1(-6 + 7x) 7 + 8x = 8 + (-6 * -1 + 7x * -1) 7 + 8x = 8 + (6 + -7x) Combine like terms: 8 + 6 = 14 7 + 8x = 14 + -7x Solving 7 + 8x = 14 + -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. 7 + 8x + 7x = 14 + -7x + 7x Combine like terms: 8x + 7x = 15x 7 + 15x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 15x = 14 + 0 7 + 15x = 14 Add '-7' to each side of the equation. 7 + -7 + 15x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 14 + -7 15x = 14 + -7 Combine like terms: 14 + -7 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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