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Simplifying 49(2x + -12) = 38(3x + 9) Reorder the terms: 49(-12 + 2x) = 38(3x + 9) (-12 * 49 + 2x * 49) = 38(3x + 9) (-588 + 98x) = 38(3x + 9) Reorder the terms: -588 + 98x = 38(9 + 3x) -588 + 98x = (9 * 38 + 3x * 38) -588 + 98x = (342 + 114x) Solving -588 + 98x = 342 + 114x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-114x' to each side of the equation. -588 + 98x + -114x = 342 + 114x + -114x Combine like terms: 98x + -114x = -16x -588 + -16x = 342 + 114x + -114x Combine like terms: 114x + -114x = 0 -588 + -16x = 342 + 0 -588 + -16x = 342 Add '588' to each side of the equation. -588 + 588 + -16x = 342 + 588 Combine like terms: -588 + 588 = 0 0 + -16x = 342 + 588 -16x = 342 + 588 Combine like terms: 342 + 588 = 930 -16x = 930 Divide each side by '-16'. x = -58.125 Simplifying x = -58.125
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