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Simplifying (-4x + 6x + 1) + (5x + -1x + -12) = 0 Reorder the terms: (1 + -4x + 6x) + (5x + -1x + -12) = 0 Combine like terms: -4x + 6x = 2x (1 + 2x) + (5x + -1x + -12) = 0 Remove parenthesis around (1 + 2x) 1 + 2x + (5x + -1x + -12) = 0 Reorder the terms: 1 + 2x + (-12 + 5x + -1x) = 0 Combine like terms: 5x + -1x = 4x 1 + 2x + (-12 + 4x) = 0 Remove parenthesis around (-12 + 4x) 1 + 2x + -12 + 4x = 0 Reorder the terms: 1 + -12 + 2x + 4x = 0 Combine like terms: 1 + -12 = -11 -11 + 2x + 4x = 0 Combine like terms: 2x + 4x = 6x -11 + 6x = 0 Solving -11 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 0 + 11 6x = 0 + 11 Combine like terms: 0 + 11 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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