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Simplifying 8x + -42 = 6x + 30 Reorder the terms: -42 + 8x = 6x + 30 Reorder the terms: -42 + 8x = 30 + 6x Solving -42 + 8x = 30 + 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 + 8x + -6x = 30 + 6x + -6x Combine like terms: 8x + -6x = 2x -42 + 2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 2x = 30 + 0 -42 + 2x = 30 Add '42' to each side of the equation. -42 + 42 + 2x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 30 + 42 2x = 30 + 42 Combine like terms: 30 + 42 = 72 2x = 72 Divide each side by '2'. x = 36 Simplifying x = 36
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