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Simplifying -3(2x + 1) = 6(x + -7) Reorder the terms: -3(1 + 2x) = 6(x + -7) (1 * -3 + 2x * -3) = 6(x + -7) (-3 + -6x) = 6(x + -7) Reorder the terms: -3 + -6x = 6(-7 + x) -3 + -6x = (-7 * 6 + x * 6) -3 + -6x = (-42 + 6x) Solving -3 + -6x = -42 + 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. -3 + -6x + -6x = -42 + 6x + -6x Combine like terms: -6x + -6x = -12x -3 + -12x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -12x = -42 + 0 -3 + -12x = -42 Add '3' to each side of the equation. -3 + 3 + -12x = -42 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -42 + 3 -12x = -42 + 3 Combine like terms: -42 + 3 = -39 -12x = -39 Divide each side by '-12'. x = 3.25 Simplifying x = 3.25
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