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Simplifying 4(-3x + -2) + 2(5x + 1) = 4 Reorder the terms: 4(-2 + -3x) + 2(5x + 1) = 4 (-2 * 4 + -3x * 4) + 2(5x + 1) = 4 (-8 + -12x) + 2(5x + 1) = 4 Reorder the terms: -8 + -12x + 2(1 + 5x) = 4 -8 + -12x + (1 * 2 + 5x * 2) = 4 -8 + -12x + (2 + 10x) = 4 Reorder the terms: -8 + 2 + -12x + 10x = 4 Combine like terms: -8 + 2 = -6 -6 + -12x + 10x = 4 Combine like terms: -12x + 10x = -2x -6 + -2x = 4 Solving -6 + -2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 4 + 6 -2x = 4 + 6 Combine like terms: 4 + 6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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