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Simplifying 3x + 1 + -7(x + 2) = 6x + 2 Reorder the terms: 3x + 1 + -7(2 + x) = 6x + 2 3x + 1 + (2 * -7 + x * -7) = 6x + 2 3x + 1 + (-14 + -7x) = 6x + 2 Reorder the terms: 1 + -14 + 3x + -7x = 6x + 2 Combine like terms: 1 + -14 = -13 -13 + 3x + -7x = 6x + 2 Combine like terms: 3x + -7x = -4x -13 + -4x = 6x + 2 Reorder the terms: -13 + -4x = 2 + 6x Solving -13 + -4x = 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. -13 + -4x + -6x = 2 + 6x + -6x Combine like terms: -4x + -6x = -10x -13 + -10x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -10x = 2 + 0 -13 + -10x = 2 Add '13' to each side of the equation. -13 + 13 + -10x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -10x = 2 + 13 -10x = 2 + 13 Combine like terms: 2 + 13 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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