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Simplifying 2(3x + -5) + 12y = -4 Reorder the terms: 2(-5 + 3x) + 12y = -4 (-5 * 2 + 3x * 2) + 12y = -4 (-10 + 6x) + 12y = -4 Solving -10 + 6x + 12y = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6x + 10 + 12y = -4 + 10 Reorder the terms: -10 + 10 + 6x + 12y = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 6x + 12y = -4 + 10 6x + 12y = -4 + 10 Combine like terms: -4 + 10 = 6 6x + 12y = 6 Add '-12y' to each side of the equation. 6x + 12y + -12y = 6 + -12y Combine like terms: 12y + -12y = 0 6x + 0 = 6 + -12y 6x = 6 + -12y Divide each side by '6'. x = 1 + -2y Simplifying x = 1 + -2y
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