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Simplifying 7x + -7 = 3(1 + 3x) + -2 Reorder the terms: -7 + 7x = 3(1 + 3x) + -2 -7 + 7x = (1 * 3 + 3x * 3) + -2 -7 + 7x = (3 + 9x) + -2 Reorder the terms: -7 + 7x = 3 + -2 + 9x Combine like terms: 3 + -2 = 1 -7 + 7x = 1 + 9x Solving -7 + 7x = 1 + 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. -7 + 7x + -9x = 1 + 9x + -9x Combine like terms: 7x + -9x = -2x -7 + -2x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -2x = 1 + 0 -7 + -2x = 1 Add '7' to each side of the equation. -7 + 7 + -2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 1 + 7 -2x = 1 + 7 Combine like terms: 1 + 7 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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