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Simplifying 2(x + 3) + -44 = -2(x + 9) Reorder the terms: 2(3 + x) + -44 = -2(x + 9) (3 * 2 + x * 2) + -44 = -2(x + 9) (6 + 2x) + -44 = -2(x + 9) Reorder the terms: 6 + -44 + 2x = -2(x + 9) Combine like terms: 6 + -44 = -38 -38 + 2x = -2(x + 9) Reorder the terms: -38 + 2x = -2(9 + x) -38 + 2x = (9 * -2 + x * -2) -38 + 2x = (-18 + -2x) Solving -38 + 2x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 2x + 2x = -18 + -2x + 2x Combine like terms: 2x + 2x = 4x -38 + 4x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 4x = -18 + 0 -38 + 4x = -18 Add '38' to each side of the equation. -38 + 38 + 4x = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -18 + 38 4x = -18 + 38 Combine like terms: -18 + 38 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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