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Simplifying -5[x + 3] = 45 + 5x Reorder the terms: -5[3 + x] = 45 + 5x [3 * -5 + x * -5] = 45 + 5x [-15 + -5x] = 45 + 5x Solving -15 + -5x = 45 + 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 = 45 + 5x + -5x Combine like terms: -5x + -5x = -10x -15 + -10x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -10x = 45 + 0 -15 + -10x = 45 Add '15' to each side of the equation. -15 + 15 + -10x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 45 + 15 -10x = 45 + 15 Combine like terms: 45 + 15 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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