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Simplifying 7x + -3y + 12 = -8x Reorder the terms: 12 + 7x + -3y = -8x Solving 12 + 7x + -3y = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 7x + 8x + -3y = -8x + 8x Combine like terms: 7x + 8x = 15x 12 + 15x + -3y = -8x + 8x Combine like terms: -8x + 8x = 0 12 + 15x + -3y = 0 Add '-12' to each side of the equation. 12 + 15x + -12 + -3y = 0 + -12 Reorder the terms: 12 + -12 + 15x + -3y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 15x + -3y = 0 + -12 15x + -3y = 0 + -12 Combine like terms: 0 + -12 = -12 15x + -3y = -12 Add '3y' to each side of the equation. 15x + -3y + 3y = -12 + 3y Combine like terms: -3y + 3y = 0 15x + 0 = -12 + 3y 15x = -12 + 3y Divide each side by '15'. x = -0.8 + 0.2y Simplifying x = -0.8 + 0.2y
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