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Simplifying -38 + 5x = -4(-4 + -8x) -38 + 5x = (-4 * -4 + -8x * -4) -38 + 5x = (16 + 32x) Solving -38 + 5x = 16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -38 + 5x + -32x = 16 + 32x + -32x Combine like terms: 5x + -32x = -27x -38 + -27x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -38 + -27x = 16 + 0 -38 + -27x = 16 Add '38' to each side of the equation. -38 + 38 + -27x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -27x = 16 + 38 -27x = 16 + 38 Combine like terms: 16 + 38 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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