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Simplifying 5x + -21 = 7x + 45 Reorder the terms: -21 + 5x = 7x + 45 Reorder the terms: -21 + 5x = 45 + 7x Solving -21 + 5x = 45 + 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. -21 + 5x + -7x = 45 + 7x + -7x Combine like terms: 5x + -7x = -2x -21 + -2x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -2x = 45 + 0 -21 + -2x = 45 Add '21' to each side of the equation. -21 + 21 + -2x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 45 + 21 -2x = 45 + 21 Combine like terms: 45 + 21 = 66 -2x = 66 Divide each side by '-2'. x = -33 Simplifying x = -33
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