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Simplifying 2(4 + -5x) = 2(3x + 1) (4 * 2 + -5x * 2) = 2(3x + 1) (8 + -10x) = 2(3x + 1) Reorder the terms: 8 + -10x = 2(1 + 3x) 8 + -10x = (1 * 2 + 3x * 2) 8 + -10x = (2 + 6x) Solving 8 + -10x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -10x + -6x = 2 + 6x + -6x Combine like terms: -10x + -6x = -16x 8 + -16x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -16x = 2 + 0 8 + -16x = 2 Add '-8' to each side of the equation. 8 + -8 + -16x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = 2 + -8 -16x = 2 + -8 Combine like terms: 2 + -8 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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