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Simplifying 7x + -2 = 3(3x + -1) + 3 Reorder the terms: -2 + 7x = 3(3x + -1) + 3 Reorder the terms: -2 + 7x = 3(-1 + 3x) + 3 -2 + 7x = (-1 * 3 + 3x * 3) + 3 -2 + 7x = (-3 + 9x) + 3 Reorder the terms: -2 + 7x = -3 + 3 + 9x Combine like terms: -3 + 3 = 0 -2 + 7x = 0 + 9x -2 + 7x = 9x Solving -2 + 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -2 + -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -2x = 0 Add '2' to each side of the equation. -2 + 2 + -2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 0 + 2 -2x = 0 + 2 Combine like terms: 0 + 2 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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