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Simplifying 2(6x + -5y + 4) + -2(-2x + 3y + -2) = 0 Reorder the terms: 2(4 + 6x + -5y) + -2(-2x + 3y + -2) = 0 (4 * 2 + 6x * 2 + -5y * 2) + -2(-2x + 3y + -2) = 0 (8 + 12x + -10y) + -2(-2x + 3y + -2) = 0 Reorder the terms: 8 + 12x + -10y + -2(-2 + -2x + 3y) = 0 8 + 12x + -10y + (-2 * -2 + -2x * -2 + 3y * -2) = 0 8 + 12x + -10y + (4 + 4x + -6y) = 0 Reorder the terms: 8 + 4 + 12x + 4x + -10y + -6y = 0 Combine like terms: 8 + 4 = 12 12 + 12x + 4x + -10y + -6y = 0 Combine like terms: 12x + 4x = 16x 12 + 16x + -10y + -6y = 0 Combine like terms: -10y + -6y = -16y 12 + 16x + -16y = 0 Solving 12 + 16x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 16x + -12 + -16y = 0 + -12 Reorder the terms: 12 + -12 + 16x + -16y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 16x + -16y = 0 + -12 16x + -16y = 0 + -12 Combine like terms: 0 + -12 = -12 16x + -16y = -12 Add '16y' to each side of the equation. 16x + -16y + 16y = -12 + 16y Combine like terms: -16y + 16y = 0 16x + 0 = -12 + 16y 16x = -12 + 16y Divide each side by '16'. x = -0.75 + y Simplifying x = -0.75 + y
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