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Simplifying 3(4x + -1) = 4 + -2(5 + -3x) Reorder the terms: 3(-1 + 4x) = 4 + -2(5 + -3x) (-1 * 3 + 4x * 3) = 4 + -2(5 + -3x) (-3 + 12x) = 4 + -2(5 + -3x) -3 + 12x = 4 + (5 * -2 + -3x * -2) -3 + 12x = 4 + (-10 + 6x) Combine like terms: 4 + -10 = -6 -3 + 12x = -6 + 6x Solving -3 + 12x = -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. -3 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x -3 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 6x = -6 + 0 -3 + 6x = -6 Add '3' to each side of the equation. -3 + 3 + 6x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -6 + 3 6x = -6 + 3 Combine like terms: -6 + 3 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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