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Simplifying 13 + -47 = 7(x + -1) + -6 Combine like terms: 13 + -47 = -34 -34 = 7(x + -1) + -6 Reorder the terms: -34 = 7(-1 + x) + -6 -34 = (-1 * 7 + x * 7) + -6 -34 = (-7 + 7x) + -6 Reorder the terms: -34 = -7 + -6 + 7x Combine like terms: -7 + -6 = -13 -34 = -13 + 7x Solving -34 = -13 + 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. -34 + -7x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -34 + -7x = -13 + 0 -34 + -7x = -13 Add '34' to each side of the equation. -34 + 34 + -7x = -13 + 34 Combine like terms: -34 + 34 = 0 0 + -7x = -13 + 34 -7x = -13 + 34 Combine like terms: -13 + 34 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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