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Simplifying 9x + -2x + 7 = 11x + 3x + -21 Reorder the terms: 7 + 9x + -2x = 11x + 3x + -21 Combine like terms: 9x + -2x = 7x 7 + 7x = 11x + 3x + -21 Reorder the terms: 7 + 7x = -21 + 11x + 3x Combine like terms: 11x + 3x = 14x 7 + 7x = -21 + 14x Solving 7 + 7x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 7x + -14x = -21 + 14x + -14x Combine like terms: 7x + -14x = -7x 7 + -7x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -7x = -21 + 0 7 + -7x = -21 Add '-7' to each side of the equation. 7 + -7 + -7x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -21 + -7 -7x = -21 + -7 Combine like terms: -21 + -7 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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