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Simplifying 5(3x + -2) + -5 = 3x + -27 Reorder the terms: 5(-2 + 3x) + -5 = 3x + -27 (-2 * 5 + 3x * 5) + -5 = 3x + -27 (-10 + 15x) + -5 = 3x + -27 Reorder the terms: -10 + -5 + 15x = 3x + -27 Combine like terms: -10 + -5 = -15 -15 + 15x = 3x + -27 Reorder the terms: -15 + 15x = -27 + 3x Solving -15 + 15x = -27 + 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. -15 + 15x + -3x = -27 + 3x + -3x Combine like terms: 15x + -3x = 12x -15 + 12x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 12x = -27 + 0 -15 + 12x = -27 Add '15' to each side of the equation. -15 + 15 + 12x = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -27 + 15 12x = -27 + 15 Combine like terms: -27 + 15 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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