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Simplifying 6(2x + -6) + -3(x + 1) + -20 = 0 Reorder the terms: 6(-6 + 2x) + -3(x + 1) + -20 = 0 (-6 * 6 + 2x * 6) + -3(x + 1) + -20 = 0 (-36 + 12x) + -3(x + 1) + -20 = 0 Reorder the terms: -36 + 12x + -3(1 + x) + -20 = 0 -36 + 12x + (1 * -3 + x * -3) + -20 = 0 -36 + 12x + (-3 + -3x) + -20 = 0 Reorder the terms: -36 + -3 + -20 + 12x + -3x = 0 Combine like terms: -36 + -3 = -39 -39 + -20 + 12x + -3x = 0 Combine like terms: -39 + -20 = -59 -59 + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x -59 + 9x = 0 Solving -59 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 9x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 9x = 0 + 59 9x = 0 + 59 Combine like terms: 0 + 59 = 59 9x = 59 Divide each side by '9'. x = 6.555555556 Simplifying x = 6.555555556
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