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Simplifying 12 + -3(x + 5) = 2x + -78 Reorder the terms: 12 + -3(5 + x) = 2x + -78 12 + (5 * -3 + x * -3) = 2x + -78 12 + (-15 + -3x) = 2x + -78 Combine like terms: 12 + -15 = -3 -3 + -3x = 2x + -78 Reorder the terms: -3 + -3x = -78 + 2x Solving -3 + -3x = -78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + -3x + -2x = -78 + 2x + -2x Combine like terms: -3x + -2x = -5x -3 + -5x = -78 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -5x = -78 + 0 -3 + -5x = -78 Add '3' to each side of the equation. -3 + 3 + -5x = -78 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -78 + 3 -5x = -78 + 3 Combine like terms: -78 + 3 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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