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Simplifying 8x + -1(2x + 2) = 7x + -38 Reorder the terms: 8x + -1(2 + 2x) = 7x + -38 8x + (2 * -1 + 2x * -1) = 7x + -38 8x + (-2 + -2x) = 7x + -38 Reorder the terms: -2 + 8x + -2x = 7x + -38 Combine like terms: 8x + -2x = 6x -2 + 6x = 7x + -38 Reorder the terms: -2 + 6x = -38 + 7x Solving -2 + 6x = -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 + 6x + -7x = -38 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = -38 + 0 -2 + -1x = -38 Add '2' to each side of the equation. -2 + 2 + -1x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -38 + 2 -1x = -38 + 2 Combine like terms: -38 + 2 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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