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Simplifying 3x + 15 = -2(3x + -30) Reorder the terms: 15 + 3x = -2(3x + -30) Reorder the terms: 15 + 3x = -2(-30 + 3x) 15 + 3x = (-30 * -2 + 3x * -2) 15 + 3x = (60 + -6x) Solving 15 + 3x = 60 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 3x + 6x = 60 + -6x + 6x Combine like terms: 3x + 6x = 9x 15 + 9x = 60 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 9x = 60 + 0 15 + 9x = 60 Add '-15' to each side of the equation. 15 + -15 + 9x = 60 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 60 + -15 9x = 60 + -15 Combine like terms: 60 + -15 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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