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Simplifying 4x + 12 = 12x + -42 Reorder the terms: 12 + 4x = 12x + -42 Reorder the terms: 12 + 4x = -42 + 12x Solving 12 + 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. 12 + 4x + -12x = -42 + 12x + -12x Combine like terms: 4x + -12x = -8x 12 + -8x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -8x = -42 + 0 12 + -8x = -42 Add '-12' to each side of the equation. 12 + -12 + -8x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -42 + -12 -8x = -42 + -12 Combine like terms: -42 + -12 = -54 -8x = -54 Divide each side by '-8'. x = 6.75 Simplifying x = 6.75
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