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Simplifying 6x + 30 = 3x + -42 Reorder the terms: 30 + 6x = 3x + -42 Reorder the terms: 30 + 6x = -42 + 3x Solving 30 + 6x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 6x + -3x = -42 + 3x + -3x Combine like terms: 6x + -3x = 3x 30 + 3x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 3x = -42 + 0 30 + 3x = -42 Add '-30' to each side of the equation. 30 + -30 + 3x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = -42 + -30 3x = -42 + -30 Combine like terms: -42 + -30 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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