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Simplifying -5(x + 3) = x + 4x + 12 Reorder the terms: -5(3 + x) = x + 4x + 12 (3 * -5 + x * -5) = x + 4x + 12 (-15 + -5x) = x + 4x + 12 Reorder the terms: -15 + -5x = 12 + x + 4x Combine like terms: x + 4x = 5x -15 + -5x = 12 + 5x Solving -15 + -5x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -5x + -5x = 12 + 5x + -5x Combine like terms: -5x + -5x = -10x -15 + -10x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -10x = 12 + 0 -15 + -10x = 12 Add '15' to each side of the equation. -15 + 15 + -10x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 12 + 15 -10x = 12 + 15 Combine like terms: 12 + 15 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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