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Simplifying 4(3x + 2) + -27 = 7x + -4 Reorder the terms: 4(2 + 3x) + -27 = 7x + -4 (2 * 4 + 3x * 4) + -27 = 7x + -4 (8 + 12x) + -27 = 7x + -4 Reorder the terms: 8 + -27 + 12x = 7x + -4 Combine like terms: 8 + -27 = -19 -19 + 12x = 7x + -4 Reorder the terms: -19 + 12x = -4 + 7x Solving -19 + 12x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -19 + 12x + -7x = -4 + 7x + -7x Combine like terms: 12x + -7x = 5x -19 + 5x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + 5x = -4 + 0 -19 + 5x = -4 Add '19' to each side of the equation. -19 + 19 + 5x = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = -4 + 19 5x = -4 + 19 Combine like terms: -4 + 19 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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