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Simplifying 8(10x2 + -3x + -9) = (5x2 + -4x + 8) * 16 Reorder the terms: 8(-9 + -3x + 10x2) = (5x2 + -4x + 8) * 16 (-9 * 8 + -3x * 8 + 10x2 * 8) = (5x2 + -4x + 8) * 16 (-72 + -24x + 80x2) = (5x2 + -4x + 8) * 16 Reorder the terms: -72 + -24x + 80x2 = (8 + -4x + 5x2) * 16 Reorder the terms for easier multiplication: -72 + -24x + 80x2 = 16(8 + -4x + 5x2) -72 + -24x + 80x2 = (8 * 16 + -4x * 16 + 5x2 * 16) -72 + -24x + 80x2 = (128 + -64x + 80x2) Add '-80x2' to each side of the equation. -72 + -24x + 80x2 + -80x2 = 128 + -64x + 80x2 + -80x2 Combine like terms: 80x2 + -80x2 = 0 -72 + -24x + 0 = 128 + -64x + 80x2 + -80x2 -72 + -24x = 128 + -64x + 80x2 + -80x2 Combine like terms: 80x2 + -80x2 = 0 -72 + -24x = 128 + -64x + 0 -72 + -24x = 128 + -64x Solving -72 + -24x = 128 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -72 + -24x + 64x = 128 + -64x + 64x Combine like terms: -24x + 64x = 40x -72 + 40x = 128 + -64x + 64x Combine like terms: -64x + 64x = 0 -72 + 40x = 128 + 0 -72 + 40x = 128 Add '72' to each side of the equation. -72 + 72 + 40x = 128 + 72 Combine like terms: -72 + 72 = 0 0 + 40x = 128 + 72 40x = 128 + 72 Combine like terms: 128 + 72 = 200 40x = 200 Divide each side by '40'. x = 5 Simplifying x = 5
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