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Simplifying -7(3 + -6x) + 7x = -7 + 2(x + -7) (3 * -7 + -6x * -7) + 7x = -7 + 2(x + -7) (-21 + 42x) + 7x = -7 + 2(x + -7) Combine like terms: 42x + 7x = 49x -21 + 49x = -7 + 2(x + -7) Reorder the terms: -21 + 49x = -7 + 2(-7 + x) -21 + 49x = -7 + (-7 * 2 + x * 2) -21 + 49x = -7 + (-14 + 2x) Combine like terms: -7 + -14 = -21 -21 + 49x = -21 + 2x Add '21' to each side of the equation. -21 + 21 + 49x = -21 + 21 + 2x Combine like terms: -21 + 21 = 0 0 + 49x = -21 + 21 + 2x 49x = -21 + 21 + 2x Combine like terms: -21 + 21 = 0 49x = 0 + 2x 49x = 2x Solving 49x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49x + -2x = 2x + -2x Combine like terms: 49x + -2x = 47x 47x = 2x + -2x Combine like terms: 2x + -2x = 0 47x = 0 Divide each side by '47'. x = 0 Simplifying x = 0
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