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Simplifying -38 + -1x = 4(1 + -2x) -38 + -1x = (1 * 4 + -2x * 4) -38 + -1x = (4 + -8x) Solving -38 + -1x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -38 + -1x + 8x = 4 + -8x + 8x Combine like terms: -1x + 8x = 7x -38 + 7x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -38 + 7x = 4 + 0 -38 + 7x = 4 Add '38' to each side of the equation. -38 + 38 + 7x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 4 + 38 7x = 4 + 38 Combine like terms: 4 + 38 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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