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Simplifying 3(4y + -7) + -2(2x + -6) = 0 Reorder the terms: 3(-7 + 4y) + -2(2x + -6) = 0 (-7 * 3 + 4y * 3) + -2(2x + -6) = 0 (-21 + 12y) + -2(2x + -6) = 0 Reorder the terms: -21 + 12y + -2(-6 + 2x) = 0 -21 + 12y + (-6 * -2 + 2x * -2) = 0 -21 + 12y + (12 + -4x) = 0 Reorder the terms: -21 + 12 + -4x + 12y = 0 Combine like terms: -21 + 12 = -9 -9 + -4x + 12y = 0 Solving -9 + -4x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4x + 9 + 12y = 0 + 9 Reorder the terms: -9 + 9 + -4x + 12y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x + 12y = 0 + 9 -4x + 12y = 0 + 9 Combine like terms: 0 + 9 = 9 -4x + 12y = 9 Add '-12y' to each side of the equation. -4x + 12y + -12y = 9 + -12y Combine like terms: 12y + -12y = 0 -4x + 0 = 9 + -12y -4x = 9 + -12y Divide each side by '-4'. x = -2.25 + 3y Simplifying x = -2.25 + 3y
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