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Simplifying 5x + (10x + -7) = (4x + 6) Reorder the terms: 5x + (-7 + 10x) = (4x + 6) Remove parenthesis around (-7 + 10x) 5x + -7 + 10x = (4x + 6) Reorder the terms: -7 + 5x + 10x = (4x + 6) Combine like terms: 5x + 10x = 15x -7 + 15x = (4x + 6) Reorder the terms: -7 + 15x = (6 + 4x) Remove parenthesis around (6 + 4x) -7 + 15x = 6 + 4x Solving -7 + 15x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 15x + -4x = 6 + 4x + -4x Combine like terms: 15x + -4x = 11x -7 + 11x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 11x = 6 + 0 -7 + 11x = 6 Add '7' to each side of the equation. -7 + 7 + 11x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 6 + 7 11x = 6 + 7 Combine like terms: 6 + 7 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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