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Simplifying -2(2x + -7) + 3y = 7(x + 4) Reorder the terms: -2(-7 + 2x) + 3y = 7(x + 4) (-7 * -2 + 2x * -2) + 3y = 7(x + 4) (14 + -4x) + 3y = 7(x + 4) Reorder the terms: 14 + -4x + 3y = 7(4 + x) 14 + -4x + 3y = (4 * 7 + x * 7) 14 + -4x + 3y = (28 + 7x) Solving 14 + -4x + 3y = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -4x + -7x + 3y = 28 + 7x + -7x Combine like terms: -4x + -7x = -11x 14 + -11x + 3y = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -11x + 3y = 28 + 0 14 + -11x + 3y = 28 Add '-14' to each side of the equation. 14 + -11x + -14 + 3y = 28 + -14 Reorder the terms: 14 + -14 + -11x + 3y = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -11x + 3y = 28 + -14 -11x + 3y = 28 + -14 Combine like terms: 28 + -14 = 14 -11x + 3y = 14 Add '-3y' to each side of the equation. -11x + 3y + -3y = 14 + -3y Combine like terms: 3y + -3y = 0 -11x + 0 = 14 + -3y -11x = 14 + -3y Divide each side by '-11'. x = -1.272727273 + 0.2727272727y Simplifying x = -1.272727273 + 0.2727272727y
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