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Simplifying -5x + 45 = 11x + 21 Reorder the terms: 45 + -5x = 11x + 21 Reorder the terms: 45 + -5x = 21 + 11x Solving 45 + -5x = 21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 45 + -5x + -11x = 21 + 11x + -11x Combine like terms: -5x + -11x = -16x 45 + -16x = 21 + 11x + -11x Combine like terms: 11x + -11x = 0 45 + -16x = 21 + 0 45 + -16x = 21 Add '-45' to each side of the equation. 45 + -45 + -16x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = 21 + -45 -16x = 21 + -45 Combine like terms: 21 + -45 = -24 -16x = -24 Divide each side by '-16'. x = 1.5 Simplifying x = 1.5
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