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Simplifying (7x + -8y + 8) + -2(-7x + 8y + -8) = 0 Reorder the terms: (8 + 7x + -8y) + -2(-7x + 8y + -8) = 0 Remove parenthesis around (8 + 7x + -8y) 8 + 7x + -8y + -2(-7x + 8y + -8) = 0 Reorder the terms: 8 + 7x + -8y + -2(-8 + -7x + 8y) = 0 8 + 7x + -8y + (-8 * -2 + -7x * -2 + 8y * -2) = 0 8 + 7x + -8y + (16 + 14x + -16y) = 0 Reorder the terms: 8 + 16 + 7x + 14x + -8y + -16y = 0 Combine like terms: 8 + 16 = 24 24 + 7x + 14x + -8y + -16y = 0 Combine like terms: 7x + 14x = 21x 24 + 21x + -8y + -16y = 0 Combine like terms: -8y + -16y = -24y 24 + 21x + -24y = 0 Solving 24 + 21x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 21x + -24 + -24y = 0 + -24 Reorder the terms: 24 + -24 + 21x + -24y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 21x + -24y = 0 + -24 21x + -24y = 0 + -24 Combine like terms: 0 + -24 = -24 21x + -24y = -24 Add '24y' to each side of the equation. 21x + -24y + 24y = -24 + 24y Combine like terms: -24y + 24y = 0 21x + 0 = -24 + 24y 21x = -24 + 24y Divide each side by '21'. x = -1.142857143 + 1.142857143y Simplifying x = -1.142857143 + 1.142857143y
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