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Simplifying (-3x + 10) + (-2x + -11) + (-3x + -12) = 0 Reorder the terms: (10 + -3x) + (-2x + -11) + (-3x + -12) = 0 Remove parenthesis around (10 + -3x) 10 + -3x + (-2x + -11) + (-3x + -12) = 0 Reorder the terms: 10 + -3x + (-11 + -2x) + (-3x + -12) = 0 Remove parenthesis around (-11 + -2x) 10 + -3x + -11 + -2x + (-3x + -12) = 0 Reorder the terms: 10 + -3x + -11 + -2x + (-12 + -3x) = 0 Remove parenthesis around (-12 + -3x) 10 + -3x + -11 + -2x + -12 + -3x = 0 Reorder the terms: 10 + -11 + -12 + -3x + -2x + -3x = 0 Combine like terms: 10 + -11 = -1 -1 + -12 + -3x + -2x + -3x = 0 Combine like terms: -1 + -12 = -13 -13 + -3x + -2x + -3x = 0 Combine like terms: -3x + -2x = -5x -13 + -5x + -3x = 0 Combine like terms: -5x + -3x = -8x -13 + -8x = 0 Solving -13 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -8x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 0 + 13 -8x = 0 + 13 Combine like terms: 0 + 13 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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