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Simplifying 1 + 4(x + -8) = 4 + -5(x + -1) Reorder the terms: 1 + 4(-8 + x) = 4 + -5(x + -1) 1 + (-8 * 4 + x * 4) = 4 + -5(x + -1) 1 + (-32 + 4x) = 4 + -5(x + -1) Combine like terms: 1 + -32 = -31 -31 + 4x = 4 + -5(x + -1) Reorder the terms: -31 + 4x = 4 + -5(-1 + x) -31 + 4x = 4 + (-1 * -5 + x * -5) -31 + 4x = 4 + (5 + -5x) Combine like terms: 4 + 5 = 9 -31 + 4x = 9 + -5x Solving -31 + 4x = 9 + -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. -31 + 4x + 5x = 9 + -5x + 5x Combine like terms: 4x + 5x = 9x -31 + 9x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 9x = 9 + 0 -31 + 9x = 9 Add '31' to each side of the equation. -31 + 31 + 9x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 9x = 9 + 31 9x = 9 + 31 Combine like terms: 9 + 31 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444
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