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Simplifying 7x + 7(2x + -7) = -19 + -9x Reorder the terms: 7x + 7(-7 + 2x) = -19 + -9x 7x + (-7 * 7 + 2x * 7) = -19 + -9x 7x + (-49 + 14x) = -19 + -9x Reorder the terms: -49 + 7x + 14x = -19 + -9x Combine like terms: 7x + 14x = 21x -49 + 21x = -19 + -9x Solving -49 + 21x = -19 + -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. -49 + 21x + 9x = -19 + -9x + 9x Combine like terms: 21x + 9x = 30x -49 + 30x = -19 + -9x + 9x Combine like terms: -9x + 9x = 0 -49 + 30x = -19 + 0 -49 + 30x = -19 Add '49' to each side of the equation. -49 + 49 + 30x = -19 + 49 Combine like terms: -49 + 49 = 0 0 + 30x = -19 + 49 30x = -19 + 49 Combine like terms: -19 + 49 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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