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Simplifying 6x + -4(x + -5) + -1(5 + -3x) = 0 Reorder the terms: 6x + -4(-5 + x) + -1(5 + -3x) = 0 6x + (-5 * -4 + x * -4) + -1(5 + -3x) = 0 6x + (20 + -4x) + -1(5 + -3x) = 0 6x + 20 + -4x + (5 * -1 + -3x * -1) = 0 6x + 20 + -4x + (-5 + 3x) = 0 Reorder the terms: 20 + -5 + 6x + -4x + 3x = 0 Combine like terms: 20 + -5 = 15 15 + 6x + -4x + 3x = 0 Combine like terms: 6x + -4x = 2x 15 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 15 + 5x = 0 Solving 15 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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