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Simplifying 7(4x + 2y) + -6x + 3 = 0 (4x * 7 + 2y * 7) + -6x + 3 = 0 (28x + 14y) + -6x + 3 = 0 Reorder the terms: 3 + 28x + -6x + 14y = 0 Combine like terms: 28x + -6x = 22x 3 + 22x + 14y = 0 Solving 3 + 22x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 22x + -3 + 14y = 0 + -3 Reorder the terms: 3 + -3 + 22x + 14y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 22x + 14y = 0 + -3 22x + 14y = 0 + -3 Combine like terms: 0 + -3 = -3 22x + 14y = -3 Add '-14y' to each side of the equation. 22x + 14y + -14y = -3 + -14y Combine like terms: 14y + -14y = 0 22x + 0 = -3 + -14y 22x = -3 + -14y Divide each side by '22'. x = -0.1363636364 + -0.6363636364y Simplifying x = -0.1363636364 + -0.6363636364y
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