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Simplifying x + -6(1 + -5x) = 29 + -4x x + (1 * -6 + -5x * -6) = 29 + -4x x + (-6 + 30x) = 29 + -4x Reorder the terms: -6 + x + 30x = 29 + -4x Combine like terms: x + 30x = 31x -6 + 31x = 29 + -4x Solving -6 + 31x = 29 + -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. -6 + 31x + 4x = 29 + -4x + 4x Combine like terms: 31x + 4x = 35x -6 + 35x = 29 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 35x = 29 + 0 -6 + 35x = 29 Add '6' to each side of the equation. -6 + 6 + 35x = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 29 + 6 35x = 29 + 6 Combine like terms: 29 + 6 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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