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Simplifying 4(3x + 5) + -5(14 + x) = -22 Reorder the terms: 4(5 + 3x) + -5(14 + x) = -22 (5 * 4 + 3x * 4) + -5(14 + x) = -22 (20 + 12x) + -5(14 + x) = -22 20 + 12x + (14 * -5 + x * -5) = -22 20 + 12x + (-70 + -5x) = -22 Reorder the terms: 20 + -70 + 12x + -5x = -22 Combine like terms: 20 + -70 = -50 -50 + 12x + -5x = -22 Combine like terms: 12x + -5x = 7x -50 + 7x = -22 Solving -50 + 7x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 7x = -22 + 50 Combine like terms: -50 + 50 = 0 0 + 7x = -22 + 50 7x = -22 + 50 Combine like terms: -22 + 50 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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