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Simplifying 4x + -12 = 6x + 42 Reorder the terms: -12 + 4x = 6x + 42 Reorder the terms: -12 + 4x = 42 + 6x Solving -12 + 4x = 42 + 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. -12 + 4x + -6x = 42 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 42 + 0 -12 + -2x = 42 Add '12' to each side of the equation. -12 + 12 + -2x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 42 + 12 -2x = 42 + 12 Combine like terms: 42 + 12 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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