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Simplifying 45 = 5x + 5(-3x + -9) Reorder the terms: 45 = 5x + 5(-9 + -3x) 45 = 5x + (-9 * 5 + -3x * 5) 45 = 5x + (-45 + -15x) Reorder the terms: 45 = -45 + 5x + -15x Combine like terms: 5x + -15x = -10x 45 = -45 + -10x Solving 45 = -45 + -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 = -45 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + 10x = -45 + 0 45 + 10x = -45 Add '-45' to each side of the equation. 45 + -45 + 10x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = -45 + -45 10x = -45 + -45 Combine like terms: -45 + -45 = -90 10x = -90 Divide each side by '10'. x = -9 Simplifying x = -9
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