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Simplifying 3x + -2(8x + -1) = 7x + -38 Reorder the terms: 3x + -2(-1 + 8x) = 7x + -38 3x + (-1 * -2 + 8x * -2) = 7x + -38 3x + (2 + -16x) = 7x + -38 Reorder the terms: 2 + 3x + -16x = 7x + -38 Combine like terms: 3x + -16x = -13x 2 + -13x = 7x + -38 Reorder the terms: 2 + -13x = -38 + 7x Solving 2 + -13x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -13x + -7x = -38 + 7x + -7x Combine like terms: -13x + -7x = -20x 2 + -20x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -20x = -38 + 0 2 + -20x = -38 Add '-2' to each side of the equation. 2 + -2 + -20x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -20x = -38 + -2 -20x = -38 + -2 Combine like terms: -38 + -2 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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