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Simplifying 5 + 2(3x + -4) = 5 + -3(2x + 1) Reorder the terms: 5 + 2(-4 + 3x) = 5 + -3(2x + 1) 5 + (-4 * 2 + 3x * 2) = 5 + -3(2x + 1) 5 + (-8 + 6x) = 5 + -3(2x + 1) Combine like terms: 5 + -8 = -3 -3 + 6x = 5 + -3(2x + 1) Reorder the terms: -3 + 6x = 5 + -3(1 + 2x) -3 + 6x = 5 + (1 * -3 + 2x * -3) -3 + 6x = 5 + (-3 + -6x) Combine like terms: 5 + -3 = 2 -3 + 6x = 2 + -6x Solving -3 + 6x = 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. -3 + 6x + 6x = 2 + -6x + 6x Combine like terms: 6x + 6x = 12x -3 + 12x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 12x = 2 + 0 -3 + 12x = 2 Add '3' to each side of the equation. -3 + 3 + 12x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 2 + 3 12x = 2 + 3 Combine like terms: 2 + 3 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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