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Simplifying 36(4x + 5) = 21(8x + -4) Reorder the terms: 36(5 + 4x) = 21(8x + -4) (5 * 36 + 4x * 36) = 21(8x + -4) (180 + 144x) = 21(8x + -4) Reorder the terms: 180 + 144x = 21(-4 + 8x) 180 + 144x = (-4 * 21 + 8x * 21) 180 + 144x = (-84 + 168x) Solving 180 + 144x = -84 + 168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168x' to each side of the equation. 180 + 144x + -168x = -84 + 168x + -168x Combine like terms: 144x + -168x = -24x 180 + -24x = -84 + 168x + -168x Combine like terms: 168x + -168x = 0 180 + -24x = -84 + 0 180 + -24x = -84 Add '-180' to each side of the equation. 180 + -180 + -24x = -84 + -180 Combine like terms: 180 + -180 = 0 0 + -24x = -84 + -180 -24x = -84 + -180 Combine like terms: -84 + -180 = -264 -24x = -264 Divide each side by '-24'. x = 11 Simplifying x = 11
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