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Simplifying 5x + -3(x + 7) = 5x + 9 Reorder the terms: 5x + -3(7 + x) = 5x + 9 5x + (7 * -3 + x * -3) = 5x + 9 5x + (-21 + -3x) = 5x + 9 Reorder the terms: -21 + 5x + -3x = 5x + 9 Combine like terms: 5x + -3x = 2x -21 + 2x = 5x + 9 Reorder the terms: -21 + 2x = 9 + 5x Solving -21 + 2x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 2x + -5x = 9 + 5x + -5x Combine like terms: 2x + -5x = -3x -21 + -3x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -3x = 9 + 0 -21 + -3x = 9 Add '21' to each side of the equation. -21 + 21 + -3x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 9 + 21 -3x = 9 + 21 Combine like terms: 9 + 21 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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