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Simplifying (10x + -7) + (4x + 6) = 5x Reorder the terms: (-7 + 10x) + (4x + 6) = 5x Remove parenthesis around (-7 + 10x) -7 + 10x + (4x + 6) = 5x Reorder the terms: -7 + 10x + (6 + 4x) = 5x Remove parenthesis around (6 + 4x) -7 + 10x + 6 + 4x = 5x Reorder the terms: -7 + 6 + 10x + 4x = 5x Combine like terms: -7 + 6 = -1 -1 + 10x + 4x = 5x Combine like terms: 10x + 4x = 14x -1 + 14x = 5x Solving -1 + 14x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 14x + -5x = 5x + -5x Combine like terms: 14x + -5x = 9x -1 + 9x = 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 9x = 0 Add '1' to each side of the equation. -1 + 1 + 9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 0 + 1 9x = 0 + 1 Combine like terms: 0 + 1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111
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