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