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Simplifying -38 + -1x = -8(1 + 2x) -38 + -1x = (1 * -8 + 2x * -8) -38 + -1x = (-8 + -16x) Solving -38 + -1x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -38 + -1x + 16x = -8 + -16x + 16x Combine like terms: -1x + 16x = 15x -38 + 15x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 -38 + 15x = -8 + 0 -38 + 15x = -8 Add '38' to each side of the equation. -38 + 38 + 15x = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 15x = -8 + 38 15x = -8 + 38 Combine like terms: -8 + 38 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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