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Simplifying 4(3x + 4) = 5(x + -2) + -17 Reorder the terms: 4(4 + 3x) = 5(x + -2) + -17 (4 * 4 + 3x * 4) = 5(x + -2) + -17 (16 + 12x) = 5(x + -2) + -17 Reorder the terms: 16 + 12x = 5(-2 + x) + -17 16 + 12x = (-2 * 5 + x * 5) + -17 16 + 12x = (-10 + 5x) + -17 Reorder the terms: 16 + 12x = -10 + -17 + 5x Combine like terms: -10 + -17 = -27 16 + 12x = -27 + 5x Solving 16 + 12x = -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. 16 + 12x + -5x = -27 + 5x + -5x Combine like terms: 12x + -5x = 7x 16 + 7x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 7x = -27 + 0 16 + 7x = -27 Add '-16' to each side of the equation. 16 + -16 + 7x = -27 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = -27 + -16 7x = -27 + -16 Combine like terms: -27 + -16 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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