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Simplifying -120 = -7x + -3(6x + -10) Reorder the terms: -120 = -7x + -3(-10 + 6x) -120 = -7x + (-10 * -3 + 6x * -3) -120 = -7x + (30 + -18x) Reorder the terms: -120 = 30 + -7x + -18x Combine like terms: -7x + -18x = -25x -120 = 30 + -25x Solving -120 = 30 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -120 + 25x = 30 + -25x + 25x Combine like terms: -25x + 25x = 0 -120 + 25x = 30 + 0 -120 + 25x = 30 Add '120' to each side of the equation. -120 + 120 + 25x = 30 + 120 Combine like terms: -120 + 120 = 0 0 + 25x = 30 + 120 25x = 30 + 120 Combine like terms: 30 + 120 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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