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Simplifying 4x + 30 = 12x + -42 Reorder the terms: 30 + 4x = 12x + -42 Reorder the terms: 30 + 4x = -42 + 12x Solving 30 + 4x = -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. 30 + 4x + -12x = -42 + 12x + -12x Combine like terms: 4x + -12x = -8x 30 + -8x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -8x = -42 + 0 30 + -8x = -42 Add '-30' to each side of the equation. 30 + -30 + -8x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -42 + -30 -8x = -42 + -30 Combine like terms: -42 + -30 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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