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Simplifying 6(x + -4) + -4(x + -1) + 3x = 0 Reorder the terms: 6(-4 + x) + -4(x + -1) + 3x = 0 (-4 * 6 + x * 6) + -4(x + -1) + 3x = 0 (-24 + 6x) + -4(x + -1) + 3x = 0 Reorder the terms: -24 + 6x + -4(-1 + x) + 3x = 0 -24 + 6x + (-1 * -4 + x * -4) + 3x = 0 -24 + 6x + (4 + -4x) + 3x = 0 Reorder the terms: -24 + 4 + 6x + -4x + 3x = 0 Combine like terms: -24 + 4 = -20 -20 + 6x + -4x + 3x = 0 Combine like terms: 6x + -4x = 2x -20 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x -20 + 5x = 0 Solving -20 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 0 + 20 5x = 0 + 20 Combine like terms: 0 + 20 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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