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Simplifying 5x + -4(2 + -3x) = 22 + 7x 5x + (2 * -4 + -3x * -4) = 22 + 7x 5x + (-8 + 12x) = 22 + 7x Reorder the terms: -8 + 5x + 12x = 22 + 7x Combine like terms: 5x + 12x = 17x -8 + 17x = 22 + 7x Solving -8 + 17x = 22 + 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. -8 + 17x + -7x = 22 + 7x + -7x Combine like terms: 17x + -7x = 10x -8 + 10x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 10x = 22 + 0 -8 + 10x = 22 Add '8' to each side of the equation. -8 + 8 + 10x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 22 + 8 10x = 22 + 8 Combine like terms: 22 + 8 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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