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Simplifying 4x + 5y + 7 = -12 + 2x Reorder the terms: 7 + 4x + 5y = -12 + 2x Solving 7 + 4x + 5y = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 4x + -2x + 5y = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 7 + 2x + 5y = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 2x + 5y = -12 + 0 7 + 2x + 5y = -12 Add '-7' to each side of the equation. 7 + 2x + -7 + 5y = -12 + -7 Reorder the terms: 7 + -7 + 2x + 5y = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + 5y = -12 + -7 2x + 5y = -12 + -7 Combine like terms: -12 + -7 = -19 2x + 5y = -19 Add '-5y' to each side of the equation. 2x + 5y + -5y = -19 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -19 + -5y 2x = -19 + -5y Divide each side by '2'. x = -9.5 + -2.5y Simplifying x = -9.5 + -2.5y
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