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Simplifying 13 = 6(x + -7) + 8 Reorder the terms: 13 = 6(-7 + x) + 8 13 = (-7 * 6 + x * 6) + 8 13 = (-42 + 6x) + 8 Reorder the terms: 13 = -42 + 8 + 6x Combine like terms: -42 + 8 = -34 13 = -34 + 6x Solving 13 = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -6x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -6x = -34 + 0 13 + -6x = -34 Add '-13' to each side of the equation. 13 + -13 + -6x = -34 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -34 + -13 -6x = -34 + -13 Combine like terms: -34 + -13 = -47 -6x = -47 Divide each side by '-6'. x = 7.833333333 Simplifying x = 7.833333333
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