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Simplifying -7(x + 3) + 2x + 7 = 6x + 10 Reorder the terms: -7(3 + x) + 2x + 7 = 6x + 10 (3 * -7 + x * -7) + 2x + 7 = 6x + 10 (-21 + -7x) + 2x + 7 = 6x + 10 Reorder the terms: -21 + 7 + -7x + 2x = 6x + 10 Combine like terms: -21 + 7 = -14 -14 + -7x + 2x = 6x + 10 Combine like terms: -7x + 2x = -5x -14 + -5x = 6x + 10 Reorder the terms: -14 + -5x = 10 + 6x Solving -14 + -5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + -5x + -6x = 10 + 6x + -6x Combine like terms: -5x + -6x = -11x -14 + -11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -11x = 10 + 0 -14 + -11x = 10 Add '14' to each side of the equation. -14 + 14 + -11x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -11x = 10 + 14 -11x = 10 + 14 Combine like terms: 10 + 14 = 24 -11x = 24 Divide each side by '-11'. x = -2.181818182 Simplifying x = -2.181818182
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