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Simplifying -7(x + 3) = -1(x + 1) + -12x Reorder the terms: -7(3 + x) = -1(x + 1) + -12x (3 * -7 + x * -7) = -1(x + 1) + -12x (-21 + -7x) = -1(x + 1) + -12x Reorder the terms: -21 + -7x = -1(1 + x) + -12x -21 + -7x = (1 * -1 + x * -1) + -12x -21 + -7x = (-1 + -1x) + -12x Combine like terms: -1x + -12x = -13x -21 + -7x = -1 + -13x Solving -21 + -7x = -1 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -21 + -7x + 13x = -1 + -13x + 13x Combine like terms: -7x + 13x = 6x -21 + 6x = -1 + -13x + 13x Combine like terms: -13x + 13x = 0 -21 + 6x = -1 + 0 -21 + 6x = -1 Add '21' to each side of the equation. -21 + 21 + 6x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = -1 + 21 6x = -1 + 21 Combine like terms: -1 + 21 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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