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Simplifying 7(x + -3) = -9(x + 2) + 19 Reorder the terms: 7(-3 + x) = -9(x + 2) + 19 (-3 * 7 + x * 7) = -9(x + 2) + 19 (-21 + 7x) = -9(x + 2) + 19 Reorder the terms: -21 + 7x = -9(2 + x) + 19 -21 + 7x = (2 * -9 + x * -9) + 19 -21 + 7x = (-18 + -9x) + 19 Reorder the terms: -21 + 7x = -18 + 19 + -9x Combine like terms: -18 + 19 = 1 -21 + 7x = 1 + -9x Solving -21 + 7x = 1 + -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. -21 + 7x + 9x = 1 + -9x + 9x Combine like terms: 7x + 9x = 16x -21 + 16x = 1 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 16x = 1 + 0 -21 + 16x = 1 Add '21' to each side of the equation. -21 + 21 + 16x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = 1 + 21 16x = 1 + 21 Combine like terms: 1 + 21 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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