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Simplifying 7x + -35 + 7 = 6x + -5 Reorder the terms: -35 + 7 + 7x = 6x + -5 Combine like terms: -35 + 7 = -28 -28 + 7x = 6x + -5 Reorder the terms: -28 + 7x = -5 + 6x Solving -28 + 7x = -5 + 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. -28 + 7x + -6x = -5 + 6x + -6x Combine like terms: 7x + -6x = 1x -28 + 1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 1x = -5 + 0 -28 + 1x = -5 Add '28' to each side of the equation. -28 + 28 + 1x = -5 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -5 + 28 1x = -5 + 28 Combine like terms: -5 + 28 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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