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Simplifying -120 = 3x + -3(-7x + -16) Reorder the terms: -120 = 3x + -3(-16 + -7x) -120 = 3x + (-16 * -3 + -7x * -3) -120 = 3x + (48 + 21x) Reorder the terms: -120 = 48 + 3x + 21x Combine like terms: 3x + 21x = 24x -120 = 48 + 24x Solving -120 = 48 + 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. -120 + -24x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 -120 + -24x = 48 + 0 -120 + -24x = 48 Add '120' to each side of the equation. -120 + 120 + -24x = 48 + 120 Combine like terms: -120 + 120 = 0 0 + -24x = 48 + 120 -24x = 48 + 120 Combine like terms: 48 + 120 = 168 -24x = 168 Divide each side by '-24'. x = -7 Simplifying x = -7
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