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Simplifying 8(9 + -8x) = 21 + -16(5 + -9x) (9 * 8 + -8x * 8) = 21 + -16(5 + -9x) (72 + -64x) = 21 + -16(5 + -9x) 72 + -64x = 21 + (5 * -16 + -9x * -16) 72 + -64x = 21 + (-80 + 144x) Combine like terms: 21 + -80 = -59 72 + -64x = -59 + 144x Solving 72 + -64x = -59 + 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. 72 + -64x + -144x = -59 + 144x + -144x Combine like terms: -64x + -144x = -208x 72 + -208x = -59 + 144x + -144x Combine like terms: 144x + -144x = 0 72 + -208x = -59 + 0 72 + -208x = -59 Add '-72' to each side of the equation. 72 + -72 + -208x = -59 + -72 Combine like terms: 72 + -72 = 0 0 + -208x = -59 + -72 -208x = -59 + -72 Combine like terms: -59 + -72 = -131 -208x = -131 Divide each side by '-208'. x = 0.6298076923 Simplifying x = 0.6298076923
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