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Simplifying 22 = -2(1 + -4x) + -2(3 + -1x) 22 = (1 * -2 + -4x * -2) + -2(3 + -1x) 22 = (-2 + 8x) + -2(3 + -1x) 22 = -2 + 8x + (3 * -2 + -1x * -2) 22 = -2 + 8x + (-6 + 2x) Reorder the terms: 22 = -2 + -6 + 8x + 2x Combine like terms: -2 + -6 = -8 22 = -8 + 8x + 2x Combine like terms: 8x + 2x = 10x 22 = -8 + 10x Solving 22 = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + -10x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -10x = -8 + 0 22 + -10x = -8 Add '-22' to each side of the equation. 22 + -22 + -10x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -10x = -8 + -22 -10x = -8 + -22 Combine like terms: -8 + -22 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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