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Simplifying 3x + -1(7x + 12) = 2(x + -3) Reorder the terms: 3x + -1(12 + 7x) = 2(x + -3) 3x + (12 * -1 + 7x * -1) = 2(x + -3) 3x + (-12 + -7x) = 2(x + -3) Reorder the terms: -12 + 3x + -7x = 2(x + -3) Combine like terms: 3x + -7x = -4x -12 + -4x = 2(x + -3) Reorder the terms: -12 + -4x = 2(-3 + x) -12 + -4x = (-3 * 2 + x * 2) -12 + -4x = (-6 + 2x) Solving -12 + -4x = -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. -12 + -4x + -2x = -6 + 2x + -2x Combine like terms: -4x + -2x = -6x -12 + -6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -6x = -6 + 0 -12 + -6x = -6 Add '12' to each side of the equation. -12 + 12 + -6x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -6 + 12 -6x = -6 + 12 Combine like terms: -6 + 12 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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