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Simplifying 5(2x + -9) = 2(x + -9) + -11 Reorder the terms: 5(-9 + 2x) = 2(x + -9) + -11 (-9 * 5 + 2x * 5) = 2(x + -9) + -11 (-45 + 10x) = 2(x + -9) + -11 Reorder the terms: -45 + 10x = 2(-9 + x) + -11 -45 + 10x = (-9 * 2 + x * 2) + -11 -45 + 10x = (-18 + 2x) + -11 Reorder the terms: -45 + 10x = -18 + -11 + 2x Combine like terms: -18 + -11 = -29 -45 + 10x = -29 + 2x Solving -45 + 10x = -29 + 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. -45 + 10x + -2x = -29 + 2x + -2x Combine like terms: 10x + -2x = 8x -45 + 8x = -29 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 8x = -29 + 0 -45 + 8x = -29 Add '45' to each side of the equation. -45 + 45 + 8x = -29 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = -29 + 45 8x = -29 + 45 Combine like terms: -29 + 45 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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