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Simplifying 7x + -1 = 3(2x + 2) + -5 Reorder the terms: -1 + 7x = 3(2x + 2) + -5 Reorder the terms: -1 + 7x = 3(2 + 2x) + -5 -1 + 7x = (2 * 3 + 2x * 3) + -5 -1 + 7x = (6 + 6x) + -5 Reorder the terms: -1 + 7x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 -1 + 7x = 1 + 6x Solving -1 + 7x = 1 + 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. -1 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -1 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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