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Simplifying 2(6y + -4) + -1x = -4(y + -3) Reorder the terms: 2(-4 + 6y) + -1x = -4(y + -3) (-4 * 2 + 6y * 2) + -1x = -4(y + -3) (-8 + 12y) + -1x = -4(y + -3) Reorder the terms: -8 + -1x + 12y = -4(y + -3) Reorder the terms: -8 + -1x + 12y = -4(-3 + y) -8 + -1x + 12y = (-3 * -4 + y * -4) -8 + -1x + 12y = (12 + -4y) Solving -8 + -1x + 12y = 12 + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -1x + 8 + 12y = 12 + 8 + -4y Reorder the terms: -8 + 8 + -1x + 12y = 12 + 8 + -4y Combine like terms: -8 + 8 = 0 0 + -1x + 12y = 12 + 8 + -4y -1x + 12y = 12 + 8 + -4y Combine like terms: 12 + 8 = 20 -1x + 12y = 20 + -4y Add '-12y' to each side of the equation. -1x + 12y + -12y = 20 + -4y + -12y Combine like terms: 12y + -12y = 0 -1x + 0 = 20 + -4y + -12y -1x = 20 + -4y + -12y Combine like terms: -4y + -12y = -16y -1x = 20 + -16y Divide each side by '-1'. x = -20 + 16y Simplifying x = -20 + 16y
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