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Simplifying 5 + 4(x + -8) = 3 + -4(x + -1) Reorder the terms: 5 + 4(-8 + x) = 3 + -4(x + -1) 5 + (-8 * 4 + x * 4) = 3 + -4(x + -1) 5 + (-32 + 4x) = 3 + -4(x + -1) Combine like terms: 5 + -32 = -27 -27 + 4x = 3 + -4(x + -1) Reorder the terms: -27 + 4x = 3 + -4(-1 + x) -27 + 4x = 3 + (-1 * -4 + x * -4) -27 + 4x = 3 + (4 + -4x) Combine like terms: 3 + 4 = 7 -27 + 4x = 7 + -4x Solving -27 + 4x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 4x + 4x = 7 + -4x + 4x Combine like terms: 4x + 4x = 8x -27 + 8x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 8x = 7 + 0 -27 + 8x = 7 Add '27' to each side of the equation. -27 + 27 + 8x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 7 + 27 8x = 7 + 27 Combine like terms: 7 + 27 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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