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Simplifying 4x + 6y + -12 = -42 Reorder the terms: -12 + 4x + 6y = -42 Solving -12 + 4x + 6y = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4x + 12 + 6y = -42 + 12 Reorder the terms: -12 + 12 + 4x + 6y = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 4x + 6y = -42 + 12 4x + 6y = -42 + 12 Combine like terms: -42 + 12 = -30 4x + 6y = -30 Add '-6y' to each side of the equation. 4x + 6y + -6y = -30 + -6y Combine like terms: 6y + -6y = 0 4x + 0 = -30 + -6y 4x = -30 + -6y Divide each side by '4'. x = -7.5 + -1.5y Simplifying x = -7.5 + -1.5y
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