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Simplifying -7(x + 3) = -2(x + 3) + -5a Reorder the terms: -7(3 + x) = -2(x + 3) + -5a (3 * -7 + x * -7) = -2(x + 3) + -5a (-21 + -7x) = -2(x + 3) + -5a Reorder the terms: -21 + -7x = -2(3 + x) + -5a -21 + -7x = (3 * -2 + x * -2) + -5a -21 + -7x = (-6 + -2x) + -5a Reorder the terms: -21 + -7x = -6 + -5a + -2x Solving -21 + -7x = -6 + -5a + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + -7x + 2x = -6 + -5a + -2x + 2x Combine like terms: -7x + 2x = -5x -21 + -5x = -6 + -5a + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -5x = -6 + -5a + 0 -21 + -5x = -6 + -5a Add '21' to each side of the equation. -21 + 21 + -5x = -6 + 21 + -5a Combine like terms: -21 + 21 = 0 0 + -5x = -6 + 21 + -5a -5x = -6 + 21 + -5a Combine like terms: -6 + 21 = 15 -5x = 15 + -5a Divide each side by '-5'. x = -3 + a Simplifying x = -3 + a
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