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Simplifying 3x + 2(-5x + 15) = -54 Reorder the terms: 3x + 2(15 + -5x) = -54 3x + (15 * 2 + -5x * 2) = -54 3x + (30 + -10x) = -54 Reorder the terms: 30 + 3x + -10x = -54 Combine like terms: 3x + -10x = -7x 30 + -7x = -54 Solving 30 + -7x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -7x = -54 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = -54 + -30 -7x = -54 + -30 Combine like terms: -54 + -30 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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