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Simplifying -7(x + 4) + 4x + 7 = 8x + 6 Reorder the terms: -7(4 + x) + 4x + 7 = 8x + 6 (4 * -7 + x * -7) + 4x + 7 = 8x + 6 (-28 + -7x) + 4x + 7 = 8x + 6 Reorder the terms: -28 + 7 + -7x + 4x = 8x + 6 Combine like terms: -28 + 7 = -21 -21 + -7x + 4x = 8x + 6 Combine like terms: -7x + 4x = -3x -21 + -3x = 8x + 6 Reorder the terms: -21 + -3x = 6 + 8x Solving -21 + -3x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + -3x + -8x = 6 + 8x + -8x Combine like terms: -3x + -8x = -11x -21 + -11x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -11x = 6 + 0 -21 + -11x = 6 Add '21' to each side of the equation. -21 + 21 + -11x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -11x = 6 + 21 -11x = 6 + 21 Combine like terms: 6 + 21 = 27 -11x = 27 Divide each side by '-11'. x = -2.454545455 Simplifying x = -2.454545455
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