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Simplifying -8x + -38 = -7(4x + -6) Reorder the terms: -38 + -8x = -7(4x + -6) Reorder the terms: -38 + -8x = -7(-6 + 4x) -38 + -8x = (-6 * -7 + 4x * -7) -38 + -8x = (42 + -28x) Solving -38 + -8x = 42 + -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 = 42 + -28x + 28x Combine like terms: -8x + 28x = 20x -38 + 20x = 42 + -28x + 28x Combine like terms: -28x + 28x = 0 -38 + 20x = 42 + 0 -38 + 20x = 42 Add '38' to each side of the equation. -38 + 38 + 20x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 20x = 42 + 38 20x = 42 + 38 Combine like terms: 42 + 38 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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