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Simplifying 3(x + -7) = 7(x + 3y) + -3y Reorder the terms: 3(-7 + x) = 7(x + 3y) + -3y (-7 * 3 + x * 3) = 7(x + 3y) + -3y (-21 + 3x) = 7(x + 3y) + -3y -21 + 3x = (x * 7 + 3y * 7) + -3y -21 + 3x = (7x + 21y) + -3y Combine like terms: 21y + -3y = 18y -21 + 3x = 7x + 18y Solving -21 + 3x = 7x + 18y 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. -21 + 3x + -7x = 7x + -7x + 18y Combine like terms: 3x + -7x = -4x -21 + -4x = 7x + -7x + 18y Combine like terms: 7x + -7x = 0 -21 + -4x = 0 + 18y -21 + -4x = 18y Add '21' to each side of the equation. -21 + 21 + -4x = 21 + 18y Combine like terms: -21 + 21 = 0 0 + -4x = 21 + 18y -4x = 21 + 18y Divide each side by '-4'. x = -5.25 + -4.5y Simplifying x = -5.25 + -4.5y
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