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Simplifying -2x + -5(x + 7) = -2(3x + 7) Reorder the terms: -2x + -5(7 + x) = -2(3x + 7) -2x + (7 * -5 + x * -5) = -2(3x + 7) -2x + (-35 + -5x) = -2(3x + 7) Reorder the terms: -35 + -2x + -5x = -2(3x + 7) Combine like terms: -2x + -5x = -7x -35 + -7x = -2(3x + 7) Reorder the terms: -35 + -7x = -2(7 + 3x) -35 + -7x = (7 * -2 + 3x * -2) -35 + -7x = (-14 + -6x) Solving -35 + -7x = -14 + -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. -35 + -7x + 6x = -14 + -6x + 6x Combine like terms: -7x + 6x = -1x -35 + -1x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + -1x = -14 + 0 -35 + -1x = -14 Add '35' to each side of the equation. -35 + 35 + -1x = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -14 + 35 -1x = -14 + 35 Combine like terms: -14 + 35 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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