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Simplifying 5x + 20 = 12x + -42 Reorder the terms: 20 + 5x = 12x + -42 Reorder the terms: 20 + 5x = -42 + 12x Solving 20 + 5x = -42 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 5x + -12x = -42 + 12x + -12x Combine like terms: 5x + -12x = -7x 20 + -7x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -7x = -42 + 0 20 + -7x = -42 Add '-20' to each side of the equation. 20 + -20 + -7x = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -42 + -20 -7x = -42 + -20 Combine like terms: -42 + -20 = -62 -7x = -62 Divide each side by '-7'. x = 8.857142857 Simplifying x = 8.857142857
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