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Simplifying 0 = 4x + 3(2x + -5) + 6(1 + -5x) Reorder the terms: 0 = 4x + 3(-5 + 2x) + 6(1 + -5x) 0 = 4x + (-5 * 3 + 2x * 3) + 6(1 + -5x) 0 = 4x + (-15 + 6x) + 6(1 + -5x) 0 = 4x + -15 + 6x + (1 * 6 + -5x * 6) 0 = 4x + -15 + 6x + (6 + -30x) Reorder the terms: 0 = -15 + 6 + 4x + 6x + -30x Combine like terms: -15 + 6 = -9 0 = -9 + 4x + 6x + -30x Combine like terms: 4x + 6x = 10x 0 = -9 + 10x + -30x Combine like terms: 10x + -30x = -20x 0 = -9 + -20x Solving 0 = -9 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 0 + 20x = -9 + -20x + 20x Remove the zero: 20x = -9 + -20x + 20x Combine like terms: -20x + 20x = 0 20x = -9 + 0 20x = -9 Divide each side by '20'. x = -0.45 Simplifying x = -0.45
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