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Simplifying 2(3x + 4y + 2) + -2(6x + 8y) = 0 Reorder the terms: 2(2 + 3x + 4y) + -2(6x + 8y) = 0 (2 * 2 + 3x * 2 + 4y * 2) + -2(6x + 8y) = 0 (4 + 6x + 8y) + -2(6x + 8y) = 0 4 + 6x + 8y + (6x * -2 + 8y * -2) = 0 4 + 6x + 8y + (-12x + -16y) = 0 Reorder the terms: 4 + 6x + -12x + 8y + -16y = 0 Combine like terms: 6x + -12x = -6x 4 + -6x + 8y + -16y = 0 Combine like terms: 8y + -16y = -8y 4 + -6x + -8y = 0 Solving 4 + -6x + -8y = 0 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 + -6x + -4 + -8y = 0 + -4 Reorder the terms: 4 + -4 + -6x + -8y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6x + -8y = 0 + -4 -6x + -8y = 0 + -4 Combine like terms: 0 + -4 = -4 -6x + -8y = -4 Add '8y' to each side of the equation. -6x + -8y + 8y = -4 + 8y Combine like terms: -8y + 8y = 0 -6x + 0 = -4 + 8y -6x = -4 + 8y Divide each side by '-6'. x = 0.6666666667 + -1.333333333y Simplifying x = 0.6666666667 + -1.333333333y
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