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Simplifying x + 6(x + -5) = x + 1 Reorder the terms: x + 6(-5 + x) = x + 1 x + (-5 * 6 + x * 6) = x + 1 x + (-30 + 6x) = x + 1 Reorder the terms: -30 + x + 6x = x + 1 Combine like terms: x + 6x = 7x -30 + 7x = x + 1 Reorder the terms: -30 + 7x = 1 + x Solving -30 + 7x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 7x + -1x = 1 + x + -1x Combine like terms: 7x + -1x = 6x -30 + 6x = 1 + x + -1x Combine like terms: x + -1x = 0 -30 + 6x = 1 + 0 -30 + 6x = 1 Add '30' to each side of the equation. -30 + 30 + 6x = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 1 + 30 6x = 1 + 30 Combine like terms: 1 + 30 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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