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