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Simplifying 38 + -8x = -4(7x + 4) + -6 Reorder the terms: 38 + -8x = -4(4 + 7x) + -6 38 + -8x = (4 * -4 + 7x * -4) + -6 38 + -8x = (-16 + -28x) + -6 Reorder the terms: 38 + -8x = -16 + -6 + -28x Combine like terms: -16 + -6 = -22 38 + -8x = -22 + -28x Solving 38 + -8x = -22 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 38 + -8x + 28x = -22 + -28x + 28x Combine like terms: -8x + 28x = 20x 38 + 20x = -22 + -28x + 28x Combine like terms: -28x + 28x = 0 38 + 20x = -22 + 0 38 + 20x = -22 Add '-38' to each side of the equation. 38 + -38 + 20x = -22 + -38 Combine like terms: 38 + -38 = 0 0 + 20x = -22 + -38 20x = -22 + -38 Combine like terms: -22 + -38 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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