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Simplifying 4 + -2(5 + -3x) = 3(4x + -1) 4 + (5 * -2 + -3x * -2) = 3(4x + -1) 4 + (-10 + 6x) = 3(4x + -1) Combine like terms: 4 + -10 = -6 -6 + 6x = 3(4x + -1) Reorder the terms: -6 + 6x = 3(-1 + 4x) -6 + 6x = (-1 * 3 + 4x * 3) -6 + 6x = (-3 + 12x) Solving -6 + 6x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 6x + -12x = -3 + 12x + -12x Combine like terms: 6x + -12x = -6x -6 + -6x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -6x = -3 + 0 -6 + -6x = -3 Add '6' to each side of the equation. -6 + 6 + -6x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -3 + 6 -6x = -3 + 6 Combine like terms: -3 + 6 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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