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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 = 0 0 + -6 + x + -1x + -2x = 0 -6 + x + -1x + -2x = 0 Combine like terms: x + -1x = 0 -6 + 0 + -2x = 0 -6 + -2x = 0 Solving -6 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 0 + 6 -2x = 0 + 6 Combine like terms: 0 + 6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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