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Simplifying 48 = -6(x + -7) Reorder the terms: 48 = -6(-7 + x) 48 = (-7 * -6 + x * -6) 48 = (42 + -6x) Solving 48 = 42 + -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. 48 + 6x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 6x = 42 + 0 48 + 6x = 42 Add '-48' to each side of the equation. 48 + -48 + 6x = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 42 + -48 6x = 42 + -48 Combine like terms: 42 + -48 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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