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Simplifying 2(x + -4) + 9(x + -1) = 49 Reorder the terms: 2(-4 + x) + 9(x + -1) = 49 (-4 * 2 + x * 2) + 9(x + -1) = 49 (-8 + 2x) + 9(x + -1) = 49 Reorder the terms: -8 + 2x + 9(-1 + x) = 49 -8 + 2x + (-1 * 9 + x * 9) = 49 -8 + 2x + (-9 + 9x) = 49 Reorder the terms: -8 + -9 + 2x + 9x = 49 Combine like terms: -8 + -9 = -17 -17 + 2x + 9x = 49 Combine like terms: 2x + 9x = 11x -17 + 11x = 49 Solving -17 + 11x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 11x = 49 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 49 + 17 11x = 49 + 17 Combine like terms: 49 + 17 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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