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Simplifying 30 + -8x = 4x + -42 Reorder the terms: 30 + -8x = -42 + 4x Solving 30 + -8x = -42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + -8x + -4x = -42 + 4x + -4x Combine like terms: -8x + -4x = -12x 30 + -12x = -42 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -12x = -42 + 0 30 + -12x = -42 Add '-30' to each side of the equation. 30 + -30 + -12x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = -42 + -30 -12x = -42 + -30 Combine like terms: -42 + -30 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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