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Simplifying 3(2x + -5) + -4(x + 3) = 0 Reorder the terms: 3(-5 + 2x) + -4(x + 3) = 0 (-5 * 3 + 2x * 3) + -4(x + 3) = 0 (-15 + 6x) + -4(x + 3) = 0 Reorder the terms: -15 + 6x + -4(3 + x) = 0 -15 + 6x + (3 * -4 + x * -4) = 0 -15 + 6x + (-12 + -4x) = 0 Reorder the terms: -15 + -12 + 6x + -4x = 0 Combine like terms: -15 + -12 = -27 -27 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -27 + 2x = 0 Solving -27 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 0 + 27 2x = 0 + 27 Combine like terms: 0 + 27 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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