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Simplifying 3x + -7 = 2(3x + 1) Reorder the terms: -7 + 3x = 2(3x + 1) Reorder the terms: -7 + 3x = 2(1 + 3x) -7 + 3x = (1 * 2 + 3x * 2) -7 + 3x = (2 + 6x) Solving -7 + 3x = 2 + 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. -7 + 3x + -6x = 2 + 6x + -6x Combine like terms: 3x + -6x = -3x -7 + -3x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -3x = 2 + 0 -7 + -3x = 2 Add '7' to each side of the equation. -7 + 7 + -3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 2 + 7 -3x = 2 + 7 Combine like terms: 2 + 7 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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