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Simplifying 3x + 7(x + -2) + -13 = 12 + -3x Reorder the terms: 3x + 7(-2 + x) + -13 = 12 + -3x 3x + (-2 * 7 + x * 7) + -13 = 12 + -3x 3x + (-14 + 7x) + -13 = 12 + -3x Reorder the terms: -14 + -13 + 3x + 7x = 12 + -3x Combine like terms: -14 + -13 = -27 -27 + 3x + 7x = 12 + -3x Combine like terms: 3x + 7x = 10x -27 + 10x = 12 + -3x Solving -27 + 10x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 10x + 3x = 12 + -3x + 3x Combine like terms: 10x + 3x = 13x -27 + 13x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 13x = 12 + 0 -27 + 13x = 12 Add '27' to each side of the equation. -27 + 27 + 13x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 12 + 27 13x = 12 + 27 Combine like terms: 12 + 27 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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