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Simplifying 5(2x + -6) + -2(x + 1) + -20x = 0 Reorder the terms: 5(-6 + 2x) + -2(x + 1) + -20x = 0 (-6 * 5 + 2x * 5) + -2(x + 1) + -20x = 0 (-30 + 10x) + -2(x + 1) + -20x = 0 Reorder the terms: -30 + 10x + -2(1 + x) + -20x = 0 -30 + 10x + (1 * -2 + x * -2) + -20x = 0 -30 + 10x + (-2 + -2x) + -20x = 0 Reorder the terms: -30 + -2 + 10x + -2x + -20x = 0 Combine like terms: -30 + -2 = -32 -32 + 10x + -2x + -20x = 0 Combine like terms: 10x + -2x = 8x -32 + 8x + -20x = 0 Combine like terms: 8x + -20x = -12x -32 + -12x = 0 Solving -32 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -12x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 0 + 32 -12x = 0 + 32 Combine like terms: 0 + 32 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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