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Simplifying 5(X + -20) + 4(X + -22) = X + -4 Reorder the terms: 5(-20 + X) + 4(X + -22) = X + -4 (-20 * 5 + X * 5) + 4(X + -22) = X + -4 (-100 + 5X) + 4(X + -22) = X + -4 Reorder the terms: -100 + 5X + 4(-22 + X) = X + -4 -100 + 5X + (-22 * 4 + X * 4) = X + -4 -100 + 5X + (-88 + 4X) = X + -4 Reorder the terms: -100 + -88 + 5X + 4X = X + -4 Combine like terms: -100 + -88 = -188 -188 + 5X + 4X = X + -4 Combine like terms: 5X + 4X = 9X -188 + 9X = X + -4 Reorder the terms: -188 + 9X = -4 + X Solving -188 + 9X = -4 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -188 + 9X + -1X = -4 + X + -1X Combine like terms: 9X + -1X = 8X -188 + 8X = -4 + X + -1X Combine like terms: X + -1X = 0 -188 + 8X = -4 + 0 -188 + 8X = -4 Add '188' to each side of the equation. -188 + 188 + 8X = -4 + 188 Combine like terms: -188 + 188 = 0 0 + 8X = -4 + 188 8X = -4 + 188 Combine like terms: -4 + 188 = 184 8X = 184 Divide each side by '8'. X = 23 Simplifying X = 23
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