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Simplifying 3(9x + -3) + -5(6 + -5x) + 9(-9x + 4) = -8(8 + -2x) Reorder the terms: 3(-3 + 9x) + -5(6 + -5x) + 9(-9x + 4) = -8(8 + -2x) (-3 * 3 + 9x * 3) + -5(6 + -5x) + 9(-9x + 4) = -8(8 + -2x) (-9 + 27x) + -5(6 + -5x) + 9(-9x + 4) = -8(8 + -2x) -9 + 27x + (6 * -5 + -5x * -5) + 9(-9x + 4) = -8(8 + -2x) -9 + 27x + (-30 + 25x) + 9(-9x + 4) = -8(8 + -2x) Reorder the terms: -9 + 27x + -30 + 25x + 9(4 + -9x) = -8(8 + -2x) -9 + 27x + -30 + 25x + (4 * 9 + -9x * 9) = -8(8 + -2x) -9 + 27x + -30 + 25x + (36 + -81x) = -8(8 + -2x) Reorder the terms: -9 + -30 + 36 + 27x + 25x + -81x = -8(8 + -2x) Combine like terms: -9 + -30 = -39 -39 + 36 + 27x + 25x + -81x = -8(8 + -2x) Combine like terms: -39 + 36 = -3 -3 + 27x + 25x + -81x = -8(8 + -2x) Combine like terms: 27x + 25x = 52x -3 + 52x + -81x = -8(8 + -2x) Combine like terms: 52x + -81x = -29x -3 + -29x = -8(8 + -2x) -3 + -29x = (8 * -8 + -2x * -8) -3 + -29x = (-64 + 16x) Solving -3 + -29x = -64 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -3 + -29x + -16x = -64 + 16x + -16x Combine like terms: -29x + -16x = -45x -3 + -45x = -64 + 16x + -16x Combine like terms: 16x + -16x = 0 -3 + -45x = -64 + 0 -3 + -45x = -64 Add '3' to each side of the equation. -3 + 3 + -45x = -64 + 3 Combine like terms: -3 + 3 = 0 0 + -45x = -64 + 3 -45x = -64 + 3 Combine like terms: -64 + 3 = -61 -45x = -61 Divide each side by '-45'. x = 1.355555556 Simplifying x = 1.355555556
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