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Simplifying 2x + -7(3 + x) = x + 9 2x + (3 * -7 + x * -7) = x + 9 2x + (-21 + -7x) = x + 9 Reorder the terms: -21 + 2x + -7x = x + 9 Combine like terms: 2x + -7x = -5x -21 + -5x = x + 9 Reorder the terms: -21 + -5x = 9 + x Solving -21 + -5x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + -5x + -1x = 9 + x + -1x Combine like terms: -5x + -1x = -6x -21 + -6x = 9 + x + -1x Combine like terms: x + -1x = 0 -21 + -6x = 9 + 0 -21 + -6x = 9 Add '21' to each side of the equation. -21 + 21 + -6x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = 9 + 21 -6x = 9 + 21 Combine like terms: 9 + 21 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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