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Simplifying 9(x + -2) = -7(x + 4) + 48 Reorder the terms: 9(-2 + x) = -7(x + 4) + 48 (-2 * 9 + x * 9) = -7(x + 4) + 48 (-18 + 9x) = -7(x + 4) + 48 Reorder the terms: -18 + 9x = -7(4 + x) + 48 -18 + 9x = (4 * -7 + x * -7) + 48 -18 + 9x = (-28 + -7x) + 48 Reorder the terms: -18 + 9x = -28 + 48 + -7x Combine like terms: -28 + 48 = 20 -18 + 9x = 20 + -7x Solving -18 + 9x = 20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -18 + 9x + 7x = 20 + -7x + 7x Combine like terms: 9x + 7x = 16x -18 + 16x = 20 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + 16x = 20 + 0 -18 + 16x = 20 Add '18' to each side of the equation. -18 + 18 + 16x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = 20 + 18 16x = 20 + 18 Combine like terms: 20 + 18 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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