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Simplifying 2(10x2 + -3x + -9) = 4(5x2 + -4x + 8) Reorder the terms: 2(-9 + -3x + 10x2) = 4(5x2 + -4x + 8) (-9 * 2 + -3x * 2 + 10x2 * 2) = 4(5x2 + -4x + 8) (-18 + -6x + 20x2) = 4(5x2 + -4x + 8) Reorder the terms: -18 + -6x + 20x2 = 4(8 + -4x + 5x2) -18 + -6x + 20x2 = (8 * 4 + -4x * 4 + 5x2 * 4) -18 + -6x + 20x2 = (32 + -16x + 20x2) Add '-20x2' to each side of the equation. -18 + -6x + 20x2 + -20x2 = 32 + -16x + 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -18 + -6x + 0 = 32 + -16x + 20x2 + -20x2 -18 + -6x = 32 + -16x + 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 -18 + -6x = 32 + -16x + 0 -18 + -6x = 32 + -16x Solving -18 + -6x = 32 + -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. -18 + -6x + 16x = 32 + -16x + 16x Combine like terms: -6x + 16x = 10x -18 + 10x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 -18 + 10x = 32 + 0 -18 + 10x = 32 Add '18' to each side of the equation. -18 + 18 + 10x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 32 + 18 10x = 32 + 18 Combine like terms: 32 + 18 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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