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Simplifying 3(2x + -1y) + 12 = 4x + -3 (2x * 3 + -1y * 3) + 12 = 4x + -3 (6x + -3y) + 12 = 4x + -3 Reorder the terms: 12 + 6x + -3y = 4x + -3 Reorder the terms: 12 + 6x + -3y = -3 + 4x Solving 12 + 6x + -3y = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x + -3y = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x + -3y = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x + -3y = -3 + 0 12 + 2x + -3y = -3 Add '-12' to each side of the equation. 12 + 2x + -12 + -3y = -3 + -12 Reorder the terms: 12 + -12 + 2x + -3y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + -3y = -3 + -12 2x + -3y = -3 + -12 Combine like terms: -3 + -12 = -15 2x + -3y = -15 Add '3y' to each side of the equation. 2x + -3y + 3y = -15 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -15 + 3y 2x = -15 + 3y Divide each side by '2'. x = -7.5 + 1.5y Simplifying x = -7.5 + 1.5y
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