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Simplifying 3(2x + -5) + -2(7x + 9) = 49 Reorder the terms: 3(-5 + 2x) + -2(7x + 9) = 49 (-5 * 3 + 2x * 3) + -2(7x + 9) = 49 (-15 + 6x) + -2(7x + 9) = 49 Reorder the terms: -15 + 6x + -2(9 + 7x) = 49 -15 + 6x + (9 * -2 + 7x * -2) = 49 -15 + 6x + (-18 + -14x) = 49 Reorder the terms: -15 + -18 + 6x + -14x = 49 Combine like terms: -15 + -18 = -33 -33 + 6x + -14x = 49 Combine like terms: 6x + -14x = -8x -33 + -8x = 49 Solving -33 + -8x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -8x = 49 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = 49 + 33 -8x = 49 + 33 Combine like terms: 49 + 33 = 82 -8x = 82 Divide each side by '-8'. x = -10.25 Simplifying x = -10.25
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