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Simplifying -48 = 6(x + 1) Reorder the terms: -48 = 6(1 + x) -48 = (1 * 6 + x * 6) -48 = (6 + 6x) Solving -48 = 6 + 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 = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + -6x = 6 + 0 -48 + -6x = 6 Add '48' to each side of the equation. -48 + 48 + -6x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = 6 + 48 -6x = 6 + 48 Combine like terms: 6 + 48 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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