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Simplifying 3(3x + -2) = -2x + 49 Reorder the terms: 3(-2 + 3x) = -2x + 49 (-2 * 3 + 3x * 3) = -2x + 49 (-6 + 9x) = -2x + 49 Reorder the terms: -6 + 9x = 49 + -2x Solving -6 + 9x = 49 + -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. -6 + 9x + 2x = 49 + -2x + 2x Combine like terms: 9x + 2x = 11x -6 + 11x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 11x = 49 + 0 -6 + 11x = 49 Add '6' to each side of the equation. -6 + 6 + 11x = 49 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 49 + 6 11x = 49 + 6 Combine like terms: 49 + 6 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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