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Simplifying 5(x + -3) + -7x = -27 + -5x Reorder the terms: 5(-3 + x) + -7x = -27 + -5x (-3 * 5 + x * 5) + -7x = -27 + -5x (-15 + 5x) + -7x = -27 + -5x Combine like terms: 5x + -7x = -2x -15 + -2x = -27 + -5x Solving -15 + -2x = -27 + -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. -15 + -2x + 5x = -27 + -5x + 5x Combine like terms: -2x + 5x = 3x -15 + 3x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 3x = -27 + 0 -15 + 3x = -27 Add '15' to each side of the equation. -15 + 15 + 3x = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -27 + 15 3x = -27 + 15 Combine like terms: -27 + 15 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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