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Simplifying -42 = 6(4x + -120) Reorder the terms: -42 = 6(-120 + 4x) -42 = (-120 * 6 + 4x * 6) -42 = (-720 + 24x) Solving -42 = -720 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -42 + -24x = -720 + 24x + -24x Combine like terms: 24x + -24x = 0 -42 + -24x = -720 + 0 -42 + -24x = -720 Add '42' to each side of the equation. -42 + 42 + -24x = -720 + 42 Combine like terms: -42 + 42 = 0 0 + -24x = -720 + 42 -24x = -720 + 42 Combine like terms: -720 + 42 = -678 -24x = -678 Divide each side by '-24'. x = 28.25 Simplifying x = 28.25
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