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Simplifying 2(2 + -5x) = 2(3x + 1) (2 * 2 + -5x * 2) = 2(3x + 1) (4 + -10x) = 2(3x + 1) Reorder the terms: 4 + -10x = 2(1 + 3x) 4 + -10x = (1 * 2 + 3x * 2) 4 + -10x = (2 + 6x) Solving 4 + -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. 4 + -10x + -6x = 2 + 6x + -6x Combine like terms: -10x + -6x = -16x 4 + -16x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -16x = 2 + 0 4 + -16x = 2 Add '-4' to each side of the equation. 4 + -4 + -16x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = 2 + -4 -16x = 2 + -4 Combine like terms: 2 + -4 = -2 -16x = -2 Divide each side by '-16'. x = 0.125 Simplifying x = 0.125
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