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Simplifying 22 + -3(x + -2) = 5(4 + -1x) Reorder the terms: 22 + -3(-2 + x) = 5(4 + -1x) 22 + (-2 * -3 + x * -3) = 5(4 + -1x) 22 + (6 + -3x) = 5(4 + -1x) Combine like terms: 22 + 6 = 28 28 + -3x = 5(4 + -1x) 28 + -3x = (4 * 5 + -1x * 5) 28 + -3x = (20 + -5x) Solving 28 + -3x = 20 + -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. 28 + -3x + 5x = 20 + -5x + 5x Combine like terms: -3x + 5x = 2x 28 + 2x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 28 + 2x = 20 + 0 28 + 2x = 20 Add '-28' to each side of the equation. 28 + -28 + 2x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 20 + -28 2x = 20 + -28 Combine like terms: 20 + -28 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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