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Simplifying (x + -3) + -1(x + 2) + 2(x + -1) + -5 = 0 Reorder the terms: (-3 + x) + -1(x + 2) + 2(x + -1) + -5 = 0 Remove parenthesis around (-3 + x) -3 + x + -1(x + 2) + 2(x + -1) + -5 = 0 Reorder the terms: -3 + x + -1(2 + x) + 2(x + -1) + -5 = 0 -3 + x + (2 * -1 + x * -1) + 2(x + -1) + -5 = 0 -3 + x + (-2 + -1x) + 2(x + -1) + -5 = 0 Reorder the terms: -3 + x + -2 + -1x + 2(-1 + x) + -5 = 0 -3 + x + -2 + -1x + (-1 * 2 + x * 2) + -5 = 0 -3 + x + -2 + -1x + (-2 + 2x) + -5 = 0 Reorder the terms: -3 + -2 + -2 + -5 + x + -1x + 2x = 0 Combine like terms: -3 + -2 = -5 -5 + -2 + -5 + x + -1x + 2x = 0 Combine like terms: -5 + -2 = -7 -7 + -5 + x + -1x + 2x = 0 Combine like terms: -7 + -5 = -12 -12 + x + -1x + 2x = 0 Combine like terms: x + -1x = 0 -12 + 0 + 2x = 0 -12 + 2x = 0 Solving -12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 0 + 12 2x = 0 + 12 Combine like terms: 0 + 12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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