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Simplifying 3(1 + 2x) + -4 = 5 + -2(3x + 2) (1 * 3 + 2x * 3) + -4 = 5 + -2(3x + 2) (3 + 6x) + -4 = 5 + -2(3x + 2) Reorder the terms: 3 + -4 + 6x = 5 + -2(3x + 2) Combine like terms: 3 + -4 = -1 -1 + 6x = 5 + -2(3x + 2) Reorder the terms: -1 + 6x = 5 + -2(2 + 3x) -1 + 6x = 5 + (2 * -2 + 3x * -2) -1 + 6x = 5 + (-4 + -6x) Combine like terms: 5 + -4 = 1 -1 + 6x = 1 + -6x Solving -1 + 6x = 1 + -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 + 6x + 6x = 1 + -6x + 6x Combine like terms: 6x + 6x = 12x -1 + 12x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 12x = 1 + 0 -1 + 12x = 1 Add '1' to each side of the equation. -1 + 1 + 12x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 1 + 1 12x = 1 + 1 Combine like terms: 1 + 1 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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