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Simplifying 13 + -48 = 7(x + -1) + -7 Combine like terms: 13 + -48 = -35 -35 = 7(x + -1) + -7 Reorder the terms: -35 = 7(-1 + x) + -7 -35 = (-1 * 7 + x * 7) + -7 -35 = (-7 + 7x) + -7 Reorder the terms: -35 = -7 + -7 + 7x Combine like terms: -7 + -7 = -14 -35 = -14 + 7x Solving -35 = -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. -35 + -7x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -7x = -14 + 0 -35 + -7x = -14 Add '35' to each side of the equation. -35 + 35 + -7x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = -14 + 35 -7x = -14 + 35 Combine like terms: -14 + 35 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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