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Simplifying -7x + 30 = -3(8x + 7) Reorder the terms: 30 + -7x = -3(8x + 7) Reorder the terms: 30 + -7x = -3(7 + 8x) 30 + -7x = (7 * -3 + 8x * -3) 30 + -7x = (-21 + -24x) Solving 30 + -7x = -21 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 30 + -7x + 24x = -21 + -24x + 24x Combine like terms: -7x + 24x = 17x 30 + 17x = -21 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + 17x = -21 + 0 30 + 17x = -21 Add '-30' to each side of the equation. 30 + -30 + 17x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 17x = -21 + -30 17x = -21 + -30 Combine like terms: -21 + -30 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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