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Simplifying 7x + -5y + 12 = 22x + 2(y + 20) Reorder the terms: 12 + 7x + -5y = 22x + 2(y + 20) Reorder the terms: 12 + 7x + -5y = 22x + 2(20 + y) 12 + 7x + -5y = 22x + (20 * 2 + y * 2) 12 + 7x + -5y = 22x + (40 + 2y) Reorder the terms: 12 + 7x + -5y = 40 + 22x + 2y Solving 12 + 7x + -5y = 40 + 22x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 12 + 7x + -22x + -5y = 40 + 22x + -22x + 2y Combine like terms: 7x + -22x = -15x 12 + -15x + -5y = 40 + 22x + -22x + 2y Combine like terms: 22x + -22x = 0 12 + -15x + -5y = 40 + 0 + 2y 12 + -15x + -5y = 40 + 2y Add '-12' to each side of the equation. 12 + -15x + -12 + -5y = 40 + -12 + 2y Reorder the terms: 12 + -12 + -15x + -5y = 40 + -12 + 2y Combine like terms: 12 + -12 = 0 0 + -15x + -5y = 40 + -12 + 2y -15x + -5y = 40 + -12 + 2y Combine like terms: 40 + -12 = 28 -15x + -5y = 28 + 2y Add '5y' to each side of the equation. -15x + -5y + 5y = 28 + 2y + 5y Combine like terms: -5y + 5y = 0 -15x + 0 = 28 + 2y + 5y -15x = 28 + 2y + 5y Combine like terms: 2y + 5y = 7y -15x = 28 + 7y Divide each side by '-15'. x = -1.866666667 + -0.4666666667y Simplifying x = -1.866666667 + -0.4666666667y
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