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Simplifying 3(4x + -5) + 7(-2x + 2) = 0 Reorder the terms: 3(-5 + 4x) + 7(-2x + 2) = 0 (-5 * 3 + 4x * 3) + 7(-2x + 2) = 0 (-15 + 12x) + 7(-2x + 2) = 0 Reorder the terms: -15 + 12x + 7(2 + -2x) = 0 -15 + 12x + (2 * 7 + -2x * 7) = 0 -15 + 12x + (14 + -14x) = 0 Reorder the terms: -15 + 14 + 12x + -14x = 0 Combine like terms: -15 + 14 = -1 -1 + 12x + -14x = 0 Combine like terms: 12x + -14x = -2x -1 + -2x = 0 Solving -1 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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