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Simplifying 8(2X + -10) = 9(2X + -10) Reorder the terms: 8(-10 + 2X) = 9(2X + -10) (-10 * 8 + 2X * 8) = 9(2X + -10) (-80 + 16X) = 9(2X + -10) Reorder the terms: -80 + 16X = 9(-10 + 2X) -80 + 16X = (-10 * 9 + 2X * 9) -80 + 16X = (-90 + 18X) Solving -80 + 16X = -90 + 18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18X' to each side of the equation. -80 + 16X + -18X = -90 + 18X + -18X Combine like terms: 16X + -18X = -2X -80 + -2X = -90 + 18X + -18X Combine like terms: 18X + -18X = 0 -80 + -2X = -90 + 0 -80 + -2X = -90 Add '80' to each side of the equation. -80 + 80 + -2X = -90 + 80 Combine like terms: -80 + 80 = 0 0 + -2X = -90 + 80 -2X = -90 + 80 Combine like terms: -90 + 80 = -10 -2X = -10 Divide each side by '-2'. X = 5 Simplifying X = 5
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