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Simplifying -7(x + 4) + 4x + 7 = 8x + 10 Reorder the terms: -7(4 + x) + 4x + 7 = 8x + 10 (4 * -7 + x * -7) + 4x + 7 = 8x + 10 (-28 + -7x) + 4x + 7 = 8x + 10 Reorder the terms: -28 + 7 + -7x + 4x = 8x + 10 Combine like terms: -28 + 7 = -21 -21 + -7x + 4x = 8x + 10 Combine like terms: -7x + 4x = -3x -21 + -3x = 8x + 10 Reorder the terms: -21 + -3x = 10 + 8x Solving -21 + -3x = 10 + 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 = 10 + 8x + -8x Combine like terms: -3x + -8x = -11x -21 + -11x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -11x = 10 + 0 -21 + -11x = 10 Add '21' to each side of the equation. -21 + 21 + -11x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -11x = 10 + 21 -11x = 10 + 21 Combine like terms: 10 + 21 = 31 -11x = 31 Divide each side by '-11'. x = -2.818181818 Simplifying x = -2.818181818
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