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Simplifying -6x + -7(x + 3) = -3(4x + 6) Reorder the terms: -6x + -7(3 + x) = -3(4x + 6) -6x + (3 * -7 + x * -7) = -3(4x + 6) -6x + (-21 + -7x) = -3(4x + 6) Reorder the terms: -21 + -6x + -7x = -3(4x + 6) Combine like terms: -6x + -7x = -13x -21 + -13x = -3(4x + 6) Reorder the terms: -21 + -13x = -3(6 + 4x) -21 + -13x = (6 * -3 + 4x * -3) -21 + -13x = (-18 + -12x) Solving -21 + -13x = -18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -21 + -13x + 12x = -18 + -12x + 12x Combine like terms: -13x + 12x = -1x -21 + -1x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 -21 + -1x = -18 + 0 -21 + -1x = -18 Add '21' to each side of the equation. -21 + 21 + -1x = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -18 + 21 -1x = -18 + 21 Combine like terms: -18 + 21 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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