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Simplifying 3 + -1(2 + 4x) = 4 + 2(3x + 1) 3 + (2 * -1 + 4x * -1) = 4 + 2(3x + 1) 3 + (-2 + -4x) = 4 + 2(3x + 1) Combine like terms: 3 + -2 = 1 1 + -4x = 4 + 2(3x + 1) Reorder the terms: 1 + -4x = 4 + 2(1 + 3x) 1 + -4x = 4 + (1 * 2 + 3x * 2) 1 + -4x = 4 + (2 + 6x) Combine like terms: 4 + 2 = 6 1 + -4x = 6 + 6x Solving 1 + -4x = 6 + 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. 1 + -4x + -6x = 6 + 6x + -6x Combine like terms: -4x + -6x = -10x 1 + -10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -10x = 6 + 0 1 + -10x = 6 Add '-1' to each side of the equation. 1 + -1 + -10x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 6 + -1 -10x = 6 + -1 Combine like terms: 6 + -1 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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