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Simplifying 6(2x + -5) + 3(-4x + 2x) = 0 Reorder the terms: 6(-5 + 2x) + 3(-4x + 2x) = 0 (-5 * 6 + 2x * 6) + 3(-4x + 2x) = 0 (-30 + 12x) + 3(-4x + 2x) = 0 Combine like terms: -4x + 2x = -2x -30 + 12x + 3(-2x) = 0 Remove parenthesis around (-2x) -30 + 12x + 3 * -2x = 0 Multiply 3 * -2 -30 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -30 + 6x = 0 Solving -30 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 0 + 30 6x = 0 + 30 Combine like terms: 0 + 30 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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