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Simplifying -2(7 + -4x) = 7(x + -3) + 2 (7 * -2 + -4x * -2) = 7(x + -3) + 2 (-14 + 8x) = 7(x + -3) + 2 Reorder the terms: -14 + 8x = 7(-3 + x) + 2 -14 + 8x = (-3 * 7 + x * 7) + 2 -14 + 8x = (-21 + 7x) + 2 Reorder the terms: -14 + 8x = -21 + 2 + 7x Combine like terms: -21 + 2 = -19 -14 + 8x = -19 + 7x Solving -14 + 8x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 8x + -7x = -19 + 7x + -7x Combine like terms: 8x + -7x = 1x -14 + 1x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 1x = -19 + 0 -14 + 1x = -19 Add '14' to each side of the equation. -14 + 14 + 1x = -19 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -19 + 14 1x = -19 + 14 Combine like terms: -19 + 14 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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