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Simplifying 22 + -3x + 17x = 4(x + 5) Combine like terms: -3x + 17x = 14x 22 + 14x = 4(x + 5) Reorder the terms: 22 + 14x = 4(5 + x) 22 + 14x = (5 * 4 + x * 4) 22 + 14x = (20 + 4x) Solving 22 + 14x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 14x + -4x = 20 + 4x + -4x Combine like terms: 14x + -4x = 10x 22 + 10x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 10x = 20 + 0 22 + 10x = 20 Add '-22' to each side of the equation. 22 + -22 + 10x = 20 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 20 + -22 10x = 20 + -22 Combine like terms: 20 + -22 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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