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Simplifying -7(x + 4) + 4x + 7 = 5x + 8 Reorder the terms: -7(4 + x) + 4x + 7 = 5x + 8 (4 * -7 + x * -7) + 4x + 7 = 5x + 8 (-28 + -7x) + 4x + 7 = 5x + 8 Reorder the terms: -28 + 7 + -7x + 4x = 5x + 8 Combine like terms: -28 + 7 = -21 -21 + -7x + 4x = 5x + 8 Combine like terms: -7x + 4x = -3x -21 + -3x = 5x + 8 Reorder the terms: -21 + -3x = 8 + 5x Solving -21 + -3x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -3x + -5x = 8 + 5x + -5x Combine like terms: -3x + -5x = -8x -21 + -8x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -8x = 8 + 0 -21 + -8x = 8 Add '21' to each side of the equation. -21 + 21 + -8x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 8 + 21 -8x = 8 + 21 Combine like terms: 8 + 21 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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