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Simplifying 8(x + -1y + 2) + 2(3x) = 0 Reorder the terms: 8(2 + x + -1y) + 2(3x) = 0 (2 * 8 + x * 8 + -1y * 8) + 2(3x) = 0 (16 + 8x + -8y) + 2(3x) = 0 Remove parenthesis around (3x) 16 + 8x + -8y + 2 * 3x = 0 Multiply 2 * 3 16 + 8x + -8y + 6x = 0 Reorder the terms: 16 + 8x + 6x + -8y = 0 Combine like terms: 8x + 6x = 14x 16 + 14x + -8y = 0 Solving 16 + 14x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 14x + -16 + -8y = 0 + -16 Reorder the terms: 16 + -16 + 14x + -8y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 14x + -8y = 0 + -16 14x + -8y = 0 + -16 Combine like terms: 0 + -16 = -16 14x + -8y = -16 Add '8y' to each side of the equation. 14x + -8y + 8y = -16 + 8y Combine like terms: -8y + 8y = 0 14x + 0 = -16 + 8y 14x = -16 + 8y Divide each side by '14'. x = -1.142857143 + 0.5714285714y Simplifying x = -1.142857143 + 0.5714285714y
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