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Simplifying 0.75(4x + 8) = 3(4 + -1x) Reorder the terms: 0.75(8 + 4x) = 3(4 + -1x) (8 * 0.75 + 4x * 0.75) = 3(4 + -1x) (6 + 3x) = 3(4 + -1x) 6 + 3x = (4 * 3 + -1x * 3) 6 + 3x = (12 + -3x) Solving 6 + 3x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 3x + 3x = 12 + -3x + 3x Combine like terms: 3x + 3x = 6x 6 + 6x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 6x = 12 + 0 6 + 6x = 12 Add '-6' to each side of the equation. 6 + -6 + 6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 12 + -6 6x = 12 + -6 Combine like terms: 12 + -6 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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