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Simplifying 5x + 7 = 9x + -21 Reorder the terms: 7 + 5x = 9x + -21 Reorder the terms: 7 + 5x = -21 + 9x Solving 7 + 5x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 5x + -9x = -21 + 9x + -9x Combine like terms: 5x + -9x = -4x 7 + -4x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -4x = -21 + 0 7 + -4x = -21 Add '-7' to each side of the equation. 7 + -7 + -4x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -21 + -7 -4x = -21 + -7 Combine like terms: -21 + -7 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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