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Simplifying 6(x + -5) + -5(3 + -2x) = 3(9 + -11x) Reorder the terms: 6(-5 + x) + -5(3 + -2x) = 3(9 + -11x) (-5 * 6 + x * 6) + -5(3 + -2x) = 3(9 + -11x) (-30 + 6x) + -5(3 + -2x) = 3(9 + -11x) -30 + 6x + (3 * -5 + -2x * -5) = 3(9 + -11x) -30 + 6x + (-15 + 10x) = 3(9 + -11x) Reorder the terms: -30 + -15 + 6x + 10x = 3(9 + -11x) Combine like terms: -30 + -15 = -45 -45 + 6x + 10x = 3(9 + -11x) Combine like terms: 6x + 10x = 16x -45 + 16x = 3(9 + -11x) -45 + 16x = (9 * 3 + -11x * 3) -45 + 16x = (27 + -33x) Solving -45 + 16x = 27 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -45 + 16x + 33x = 27 + -33x + 33x Combine like terms: 16x + 33x = 49x -45 + 49x = 27 + -33x + 33x Combine like terms: -33x + 33x = 0 -45 + 49x = 27 + 0 -45 + 49x = 27 Add '45' to each side of the equation. -45 + 45 + 49x = 27 + 45 Combine like terms: -45 + 45 = 0 0 + 49x = 27 + 45 49x = 27 + 45 Combine like terms: 27 + 45 = 72 49x = 72 Divide each side by '49'. x = 1.469387755 Simplifying x = 1.469387755
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