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Simplifying 7(6x + 3y) + -7(8x + -4) = 0 (6x * 7 + 3y * 7) + -7(8x + -4) = 0 (42x + 21y) + -7(8x + -4) = 0 Reorder the terms: 42x + 21y + -7(-4 + 8x) = 0 42x + 21y + (-4 * -7 + 8x * -7) = 0 42x + 21y + (28 + -56x) = 0 Reorder the terms: 28 + 42x + -56x + 21y = 0 Combine like terms: 42x + -56x = -14x 28 + -14x + 21y = 0 Solving 28 + -14x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -14x + -28 + 21y = 0 + -28 Reorder the terms: 28 + -28 + -14x + 21y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -14x + 21y = 0 + -28 -14x + 21y = 0 + -28 Combine like terms: 0 + -28 = -28 -14x + 21y = -28 Add '-21y' to each side of the equation. -14x + 21y + -21y = -28 + -21y Combine like terms: 21y + -21y = 0 -14x + 0 = -28 + -21y -14x = -28 + -21y Divide each side by '-14'. x = 2 + 1.5y Simplifying x = 2 + 1.5y
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