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Simplifying 6x + -2 = 5(x + 7) + 1 Reorder the terms: -2 + 6x = 5(x + 7) + 1 Reorder the terms: -2 + 6x = 5(7 + x) + 1 -2 + 6x = (7 * 5 + x * 5) + 1 -2 + 6x = (35 + 5x) + 1 Reorder the terms: -2 + 6x = 35 + 1 + 5x Combine like terms: 35 + 1 = 36 -2 + 6x = 36 + 5x Solving -2 + 6x = 36 + 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. -2 + 6x + -5x = 36 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = 36 + 0 -2 + 1x = 36 Add '2' to each side of the equation. -2 + 2 + 1x = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 36 + 2 1x = 36 + 2 Combine like terms: 36 + 2 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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