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Simplifying (x + -2) + -1(x + 4) + 2(x + -3) + -6 = 0 Reorder the terms: (-2 + x) + -1(x + 4) + 2(x + -3) + -6 = 0 Remove parenthesis around (-2 + x) -2 + x + -1(x + 4) + 2(x + -3) + -6 = 0 Reorder the terms: -2 + x + -1(4 + x) + 2(x + -3) + -6 = 0 -2 + x + (4 * -1 + x * -1) + 2(x + -3) + -6 = 0 -2 + x + (-4 + -1x) + 2(x + -3) + -6 = 0 Reorder the terms: -2 + x + -4 + -1x + 2(-3 + x) + -6 = 0 -2 + x + -4 + -1x + (-3 * 2 + x * 2) + -6 = 0 -2 + x + -4 + -1x + (-6 + 2x) + -6 = 0 Reorder the terms: -2 + -4 + -6 + -6 + x + -1x + 2x = 0 Combine like terms: -2 + -4 = -6 -6 + -6 + -6 + x + -1x + 2x = 0 Combine like terms: -6 + -6 = -12 -12 + -6 + x + -1x + 2x = 0 Combine like terms: -12 + -6 = -18 -18 + x + -1x + 2x = 0 Combine like terms: x + -1x = 0 -18 + 0 + 2x = 0 -18 + 2x = 0 Solving -18 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 0 + 18 2x = 0 + 18 Combine like terms: 0 + 18 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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