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Simplifying 2(x + -3) + -7 + -6(2x + -5) + 7x = 0 Reorder the terms: 2(-3 + x) + -7 + -6(2x + -5) + 7x = 0 (-3 * 2 + x * 2) + -7 + -6(2x + -5) + 7x = 0 (-6 + 2x) + -7 + -6(2x + -5) + 7x = 0 Reorder the terms: -6 + 2x + -7 + -6(-5 + 2x) + 7x = 0 -6 + 2x + -7 + (-5 * -6 + 2x * -6) + 7x = 0 -6 + 2x + -7 + (30 + -12x) + 7x = 0 Reorder the terms: -6 + -7 + 30 + 2x + -12x + 7x = 0 Combine like terms: -6 + -7 = -13 -13 + 30 + 2x + -12x + 7x = 0 Combine like terms: -13 + 30 = 17 17 + 2x + -12x + 7x = 0 Combine like terms: 2x + -12x = -10x 17 + -10x + 7x = 0 Combine like terms: -10x + 7x = -3x 17 + -3x = 0 Solving 17 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 0 + -17 -3x = 0 + -17 Combine like terms: 0 + -17 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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