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Simplifying -3(x + y) + 7(2x + 1) = 0 (x * -3 + y * -3) + 7(2x + 1) = 0 (-3x + -3y) + 7(2x + 1) = 0 Reorder the terms: -3x + -3y + 7(1 + 2x) = 0 -3x + -3y + (1 * 7 + 2x * 7) = 0 -3x + -3y + (7 + 14x) = 0 Reorder the terms: 7 + -3x + 14x + -3y = 0 Combine like terms: -3x + 14x = 11x 7 + 11x + -3y = 0 Solving 7 + 11x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 11x + -7 + -3y = 0 + -7 Reorder the terms: 7 + -7 + 11x + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x + -3y = 0 + -7 11x + -3y = 0 + -7 Combine like terms: 0 + -7 = -7 11x + -3y = -7 Add '3y' to each side of the equation. 11x + -3y + 3y = -7 + 3y Combine like terms: -3y + 3y = 0 11x + 0 = -7 + 3y 11x = -7 + 3y Divide each side by '11'. x = -0.6363636364 + 0.2727272727y Simplifying x = -0.6363636364 + 0.2727272727y
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