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Simplifying 0.75(48 + -16x) = 4(4 + 2x) (48 * 0.75 + -16x * 0.75) = 4(4 + 2x) (36 + -12x) = 4(4 + 2x) 36 + -12x = (4 * 4 + 2x * 4) 36 + -12x = (16 + 8x) Solving 36 + -12x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 36 + -12x + -8x = 16 + 8x + -8x Combine like terms: -12x + -8x = -20x 36 + -20x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -20x = 16 + 0 36 + -20x = 16 Add '-36' to each side of the equation. 36 + -36 + -20x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + -20x = 16 + -36 -20x = 16 + -36 Combine like terms: 16 + -36 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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