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Simplifying 4x + 5y + 1 = -12 + 2x Reorder the terms: 1 + 4x + 5y = -12 + 2x Solving 1 + 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. 1 + 4x + -2x + 5y = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x + 5y = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x + 5y = -12 + 0 1 + 2x + 5y = -12 Add '-1' to each side of the equation. 1 + 2x + -1 + 5y = -12 + -1 Reorder the terms: 1 + -1 + 2x + 5y = -12 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 5y = -12 + -1 2x + 5y = -12 + -1 Combine like terms: -12 + -1 = -13 2x + 5y = -13 Add '-5y' to each side of the equation. 2x + 5y + -5y = -13 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -13 + -5y 2x = -13 + -5y Divide each side by '2'. x = -6.5 + -2.5y Simplifying x = -6.5 + -2.5y
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