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Simplifying -7(x + -12) + 7(-8 + 3x) = 2 + -9x + 1 + -2x Reorder the terms: -7(-12 + x) + 7(-8 + 3x) = 2 + -9x + 1 + -2x (-12 * -7 + x * -7) + 7(-8 + 3x) = 2 + -9x + 1 + -2x (84 + -7x) + 7(-8 + 3x) = 2 + -9x + 1 + -2x 84 + -7x + (-8 * 7 + 3x * 7) = 2 + -9x + 1 + -2x 84 + -7x + (-56 + 21x) = 2 + -9x + 1 + -2x Reorder the terms: 84 + -56 + -7x + 21x = 2 + -9x + 1 + -2x Combine like terms: 84 + -56 = 28 28 + -7x + 21x = 2 + -9x + 1 + -2x Combine like terms: -7x + 21x = 14x 28 + 14x = 2 + -9x + 1 + -2x Reorder the terms: 28 + 14x = 2 + 1 + -9x + -2x Combine like terms: 2 + 1 = 3 28 + 14x = 3 + -9x + -2x Combine like terms: -9x + -2x = -11x 28 + 14x = 3 + -11x Solving 28 + 14x = 3 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 28 + 14x + 11x = 3 + -11x + 11x Combine like terms: 14x + 11x = 25x 28 + 25x = 3 + -11x + 11x Combine like terms: -11x + 11x = 0 28 + 25x = 3 + 0 28 + 25x = 3 Add '-28' to each side of the equation. 28 + -28 + 25x = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 25x = 3 + -28 25x = 3 + -28 Combine like terms: 3 + -28 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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