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Simplifying 7 + -1(2x + 9) = 19 + -9x Reorder the terms: 7 + -1(9 + 2x) = 19 + -9x 7 + (9 * -1 + 2x * -1) = 19 + -9x 7 + (-9 + -2x) = 19 + -9x Combine like terms: 7 + -9 = -2 -2 + -2x = 19 + -9x Solving -2 + -2x = 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. -2 + -2x + 9x = 19 + -9x + 9x Combine like terms: -2x + 9x = 7x -2 + 7x = 19 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 7x = 19 + 0 -2 + 7x = 19 Add '2' to each side of the equation. -2 + 2 + 7x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 19 + 2 7x = 19 + 2 Combine like terms: 19 + 2 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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