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Simplifying -7(x + 4) + 2x + 7 = 6x + 7 Reorder the terms: -7(4 + x) + 2x + 7 = 6x + 7 (4 * -7 + x * -7) + 2x + 7 = 6x + 7 (-28 + -7x) + 2x + 7 = 6x + 7 Reorder the terms: -28 + 7 + -7x + 2x = 6x + 7 Combine like terms: -28 + 7 = -21 -21 + -7x + 2x = 6x + 7 Combine like terms: -7x + 2x = -5x -21 + -5x = 6x + 7 Reorder the terms: -21 + -5x = 7 + 6x Solving -21 + -5x = 7 + 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. -21 + -5x + -6x = 7 + 6x + -6x Combine like terms: -5x + -6x = -11x -21 + -11x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -11x = 7 + 0 -21 + -11x = 7 Add '21' to each side of the equation. -21 + 21 + -11x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -11x = 7 + 21 -11x = 7 + 21 Combine like terms: 7 + 21 = 28 -11x = 28 Divide each side by '-11'. x = -2.545454545 Simplifying x = -2.545454545
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