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Simplifying -4x + -27 = 3(x + 5) Reorder the terms: -27 + -4x = 3(x + 5) Reorder the terms: -27 + -4x = 3(5 + x) -27 + -4x = (5 * 3 + x * 3) -27 + -4x = (15 + 3x) Solving -27 + -4x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + -4x + -3x = 15 + 3x + -3x Combine like terms: -4x + -3x = -7x -27 + -7x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -7x = 15 + 0 -27 + -7x = 15 Add '27' to each side of the equation. -27 + 27 + -7x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 15 + 27 -7x = 15 + 27 Combine like terms: 15 + 27 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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