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Simplifying 42 = 6(x + -8) Reorder the terms: 42 = 6(-8 + x) 42 = (-8 * 6 + x * 6) 42 = (-48 + 6x) Solving 42 = -48 + 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. 42 + -6x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -6x = -48 + 0 42 + -6x = -48 Add '-42' to each side of the equation. 42 + -42 + -6x = -48 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -48 + -42 -6x = -48 + -42 Combine like terms: -48 + -42 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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