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Simplifying -1x + 30 = -3(6x + 7) Reorder the terms: 30 + -1x = -3(6x + 7) Reorder the terms: 30 + -1x = -3(7 + 6x) 30 + -1x = (7 * -3 + 6x * -3) 30 + -1x = (-21 + -18x) Solving 30 + -1x = -21 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 30 + -1x + 18x = -21 + -18x + 18x Combine like terms: -1x + 18x = 17x 30 + 17x = -21 + -18x + 18x Combine like terms: -18x + 18x = 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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