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Simplifying x + -3(3x + 5) = 12x + -5 Reorder the terms: x + -3(5 + 3x) = 12x + -5 x + (5 * -3 + 3x * -3) = 12x + -5 x + (-15 + -9x) = 12x + -5 Reorder the terms: -15 + x + -9x = 12x + -5 Combine like terms: x + -9x = -8x -15 + -8x = 12x + -5 Reorder the terms: -15 + -8x = -5 + 12x Solving -15 + -8x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + -8x + -12x = -5 + 12x + -12x Combine like terms: -8x + -12x = -20x -15 + -20x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -20x = -5 + 0 -15 + -20x = -5 Add '15' to each side of the equation. -15 + 15 + -20x = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -20x = -5 + 15 -20x = -5 + 15 Combine like terms: -5 + 15 = 10 -20x = 10 Divide each side by '-20'. x = -0.5 Simplifying x = -0.5
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