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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 = -1x 12 + -1x + -3y = 8x + -8x Combine like terms: 8x + -8x = 0 12 + -1x + -3y = 0 Add '-12' to each side of the equation. 12 + -1x + -12 + -3y = 0 + -12 Reorder the terms: 12 + -12 + -1x + -3y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x + -3y = 0 + -12 -1x + -3y = 0 + -12 Combine like terms: 0 + -12 = -12 -1x + -3y = -12 Add '3y' to each side of the equation. -1x + -3y + 3y = -12 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -12 + 3y -1x = -12 + 3y Divide each side by '-1'. x = 12 + -3y Simplifying x = 12 + -3y
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