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Simplifying 7x + -6 = 6(x + 10) + 7 Reorder the terms: -6 + 7x = 6(x + 10) + 7 Reorder the terms: -6 + 7x = 6(10 + x) + 7 -6 + 7x = (10 * 6 + x * 6) + 7 -6 + 7x = (60 + 6x) + 7 Reorder the terms: -6 + 7x = 60 + 7 + 6x Combine like terms: 60 + 7 = 67 -6 + 7x = 67 + 6x Solving -6 + 7x = 67 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 7x + -6x = 67 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = 67 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = 67 + 0 -6 + 1x = 67 Add '6' to each side of the equation. -6 + 6 + 1x = 67 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 67 + 6 1x = 67 + 6 Combine like terms: 67 + 6 = 73 1x = 73 Divide each side by '1'. x = 73 Simplifying x = 73
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