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Simplifying 2(1 + -1x) + 3(2y + -2) = 12 (1 * 2 + -1x * 2) + 3(2y + -2) = 12 (2 + -2x) + 3(2y + -2) = 12 Reorder the terms: 2 + -2x + 3(-2 + 2y) = 12 2 + -2x + (-2 * 3 + 2y * 3) = 12 2 + -2x + (-6 + 6y) = 12 Reorder the terms: 2 + -6 + -2x + 6y = 12 Combine like terms: 2 + -6 = -4 -4 + -2x + 6y = 12 Solving -4 + -2x + 6y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2x + 4 + 6y = 12 + 4 Reorder the terms: -4 + 4 + -2x + 6y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2x + 6y = 12 + 4 -2x + 6y = 12 + 4 Combine like terms: 12 + 4 = 16 -2x + 6y = 16 Add '-6y' to each side of the equation. -2x + 6y + -6y = 16 + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = 16 + -6y -2x = 16 + -6y Divide each side by '-2'. x = -8 + 3y Simplifying x = -8 + 3y
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