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