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Simplifying 21x + -11(5x) + -11(12) = 25(5x) + 25(30) Remove parenthesis around (5x) 21x + -11 * 5x + -11(12) = 25(5x) + 25(30) Multiply -11 * 5 21x + -55x + -11(12) = 25(5x) + 25(30) Multiply -11 * 12 21x + -55x + -132 = 25(5x) + 25(30) Reorder the terms: -132 + 21x + -55x = 25(5x) + 25(30) Combine like terms: 21x + -55x = -34x -132 + -34x = 25(5x) + 25(30) Remove parenthesis around (5x) -132 + -34x = 25 * 5x + 25(30) Multiply 25 * 5 -132 + -34x = 125x + 25(30) Multiply 25 * 30 -132 + -34x = 125x + 750 Reorder the terms: -132 + -34x = 750 + 125x Solving -132 + -34x = 750 + 125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125x' to each side of the equation. -132 + -34x + -125x = 750 + 125x + -125x Combine like terms: -34x + -125x = -159x -132 + -159x = 750 + 125x + -125x Combine like terms: 125x + -125x = 0 -132 + -159x = 750 + 0 -132 + -159x = 750 Add '132' to each side of the equation. -132 + 132 + -159x = 750 + 132 Combine like terms: -132 + 132 = 0 0 + -159x = 750 + 132 -159x = 750 + 132 Combine like terms: 750 + 132 = 882 -159x = 882 Divide each side by '-159'. x = -5.547169811 Simplifying x = -5.547169811
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