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Simplifying -7(-3 + 8x) + 7x = -30 + 2x (-3 * -7 + 8x * -7) + 7x = -30 + 2x (21 + -56x) + 7x = -30 + 2x Combine like terms: -56x + 7x = -49x 21 + -49x = -30 + 2x Solving 21 + -49x = -30 + 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. 21 + -49x + -2x = -30 + 2x + -2x Combine like terms: -49x + -2x = -51x 21 + -51x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -51x = -30 + 0 21 + -51x = -30 Add '-21' to each side of the equation. 21 + -21 + -51x = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -51x = -30 + -21 -51x = -30 + -21 Combine like terms: -30 + -21 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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