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Simplifying -7(x + 3) = -2(c + 3) + -5x Reorder the terms: -7(3 + x) = -2(c + 3) + -5x (3 * -7 + x * -7) = -2(c + 3) + -5x (-21 + -7x) = -2(c + 3) + -5x Reorder the terms: -21 + -7x = -2(3 + c) + -5x -21 + -7x = (3 * -2 + c * -2) + -5x -21 + -7x = (-6 + -2c) + -5x Solving -21 + -7x = -6 + -2c + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + -7x + 5x = -6 + -2c + -5x + 5x Combine like terms: -7x + 5x = -2x -21 + -2x = -6 + -2c + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + -2x = -6 + -2c + 0 -21 + -2x = -6 + -2c Add '21' to each side of the equation. -21 + 21 + -2x = -6 + 21 + -2c Combine like terms: -21 + 21 = 0 0 + -2x = -6 + 21 + -2c -2x = -6 + 21 + -2c Combine like terms: -6 + 21 = 15 -2x = 15 + -2c Divide each side by '-2'. x = -7.5 + c Simplifying x = -7.5 + c
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