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Simplifying -45 = 12x + -1(2x + 5) Reorder the terms: -45 = 12x + -1(5 + 2x) -45 = 12x + (5 * -1 + 2x * -1) -45 = 12x + (-5 + -2x) Reorder the terms: -45 = -5 + 12x + -2x Combine like terms: 12x + -2x = 10x -45 = -5 + 10x Solving -45 = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + -10x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + -10x = -5 + 0 -45 + -10x = -5 Add '45' to each side of the equation. -45 + 45 + -10x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + -10x = -5 + 45 -10x = -5 + 45 Combine like terms: -5 + 45 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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