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Simplifying 8x + -1(4x + 3) = 5x + -38 Reorder the terms: 8x + -1(3 + 4x) = 5x + -38 8x + (3 * -1 + 4x * -1) = 5x + -38 8x + (-3 + -4x) = 5x + -38 Reorder the terms: -3 + 8x + -4x = 5x + -38 Combine like terms: 8x + -4x = 4x -3 + 4x = 5x + -38 Reorder the terms: -3 + 4x = -38 + 5x Solving -3 + 4x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 4x + -5x = -38 + 5x + -5x Combine like terms: 4x + -5x = -1x -3 + -1x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -1x = -38 + 0 -3 + -1x = -38 Add '3' to each side of the equation. -3 + 3 + -1x = -38 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -38 + 3 -1x = -38 + 3 Combine like terms: -38 + 3 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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