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Simplifying 6(x + -1) + 5x + 1 = 5(x + 6) + -1x Reorder the terms: 6(-1 + x) + 5x + 1 = 5(x + 6) + -1x (-1 * 6 + x * 6) + 5x + 1 = 5(x + 6) + -1x (-6 + 6x) + 5x + 1 = 5(x + 6) + -1x Reorder the terms: -6 + 1 + 6x + 5x = 5(x + 6) + -1x Combine like terms: -6 + 1 = -5 -5 + 6x + 5x = 5(x + 6) + -1x Combine like terms: 6x + 5x = 11x -5 + 11x = 5(x + 6) + -1x Reorder the terms: -5 + 11x = 5(6 + x) + -1x -5 + 11x = (6 * 5 + x * 5) + -1x -5 + 11x = (30 + 5x) + -1x Combine like terms: 5x + -1x = 4x -5 + 11x = 30 + 4x Solving -5 + 11x = 30 + 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. -5 + 11x + -4x = 30 + 4x + -4x Combine like terms: 11x + -4x = 7x -5 + 7x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 7x = 30 + 0 -5 + 7x = 30 Add '5' to each side of the equation. -5 + 5 + 7x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 30 + 5 7x = 30 + 5 Combine like terms: 30 + 5 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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