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Simplifying 3x + 2 = 1(x + -6) Reorder the terms: 2 + 3x = 1(x + -6) Reorder the terms: 2 + 3x = 1(-6 + x) 2 + 3x = (-6 * 1 + x * 1) 2 + 3x = (-6 + 1x) Solving 2 + 3x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 3x + -1x = -6 + 1x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 2x = -6 + 0 2 + 2x = -6 Add '-2' to each side of the equation. 2 + -2 + 2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -6 + -2 2x = -6 + -2 Combine like terms: -6 + -2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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