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Simplifying 36(16 + -2.5x) = 16(2x + -5) + 21.6 (16 * 36 + -2.5x * 36) = 16(2x + -5) + 21.6 (576 + -90x) = 16(2x + -5) + 21.6 Reorder the terms: 576 + -90x = 16(-5 + 2x) + 21.6 576 + -90x = (-5 * 16 + 2x * 16) + 21.6 576 + -90x = (-80 + 32x) + 21.6 Reorder the terms: 576 + -90x = -80 + 21.6 + 32x Combine like terms: -80 + 21.6 = -58.4 576 + -90x = -58.4 + 32x Solving 576 + -90x = -58.4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 576 + -90x + -32x = -58.4 + 32x + -32x Combine like terms: -90x + -32x = -122x 576 + -122x = -58.4 + 32x + -32x Combine like terms: 32x + -32x = 0 576 + -122x = -58.4 + 0 576 + -122x = -58.4 Add '-576' to each side of the equation. 576 + -576 + -122x = -58.4 + -576 Combine like terms: 576 + -576 = 0 0 + -122x = -58.4 + -576 -122x = -58.4 + -576 Combine like terms: -58.4 + -576 = -634.4 -122x = -634.4 Divide each side by '-122'. x = 5.2 Simplifying x = 5.2
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