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Simplifying 6(x + -6) = 5(x + 1) Reorder the terms: 6(-6 + x) = 5(x + 1) (-6 * 6 + x * 6) = 5(x + 1) (-36 + 6x) = 5(x + 1) Reorder the terms: -36 + 6x = 5(1 + x) -36 + 6x = (1 * 5 + x * 5) -36 + 6x = (5 + 5x) Solving -36 + 6x = 5 + 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. -36 + 6x + -5x = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x -36 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 1x = 5 + 0 -36 + 1x = 5 Add '36' to each side of the equation. -36 + 36 + 1x = 5 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = 5 + 36 1x = 5 + 36 Combine like terms: 5 + 36 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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