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Simplifying 3(x + -5) + 4x = 5x + -27 Reorder the terms: 3(-5 + x) + 4x = 5x + -27 (-5 * 3 + x * 3) + 4x = 5x + -27 (-15 + 3x) + 4x = 5x + -27 Combine like terms: 3x + 4x = 7x -15 + 7x = 5x + -27 Reorder the terms: -15 + 7x = -27 + 5x Solving -15 + 7x = -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 + 7x + -5x = -27 + 5x + -5x Combine like terms: 7x + -5x = 2x -15 + 2x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 2x = -27 + 0 -15 + 2x = -27 Add '15' to each side of the equation. -15 + 15 + 2x = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -27 + 15 2x = -27 + 15 Combine like terms: -27 + 15 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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