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