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Simplifying 8X + -1(2X + 2) = 7X + -23 Reorder the terms: 8X + -1(2 + 2X) = 7X + -23 8X + (2 * -1 + 2X * -1) = 7X + -23 8X + (-2 + -2X) = 7X + -23 Reorder the terms: -2 + 8X + -2X = 7X + -23 Combine like terms: 8X + -2X = 6X -2 + 6X = 7X + -23 Reorder the terms: -2 + 6X = -23 + 7X Solving -2 + 6X = -23 + 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 = -23 + 7X + -7X Combine like terms: 6X + -7X = -1X -2 + -1X = -23 + 7X + -7X Combine like terms: 7X + -7X = 0 -2 + -1X = -23 + 0 -2 + -1X = -23 Add '2' to each side of the equation. -2 + 2 + -1X = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = -23 + 2 -1X = -23 + 2 Combine like terms: -23 + 2 = -21 -1X = -21 Divide each side by '-1'. X = 21 Simplifying X = 21
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