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Simplifying -2(3x + 5) + 12 = 3x + -1(6 + x) Reorder the terms: -2(5 + 3x) + 12 = 3x + -1(6 + x) (5 * -2 + 3x * -2) + 12 = 3x + -1(6 + x) (-10 + -6x) + 12 = 3x + -1(6 + x) Reorder the terms: -10 + 12 + -6x = 3x + -1(6 + x) Combine like terms: -10 + 12 = 2 2 + -6x = 3x + -1(6 + x) 2 + -6x = 3x + (6 * -1 + x * -1) 2 + -6x = 3x + (-6 + -1x) Reorder the terms: 2 + -6x = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x 2 + -6x = -6 + 2x Solving 2 + -6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -6x + -2x = -6 + 2x + -2x Combine like terms: -6x + -2x = -8x 2 + -8x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -8x = -6 + 0 2 + -8x = -6 Add '-2' to each side of the equation. 2 + -2 + -8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -6 + -2 -8x = -6 + -2 Combine like terms: -6 + -2 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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