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Simplifying 45 = 2x + -5(x + -6) Reorder the terms: 45 = 2x + -5(-6 + x) 45 = 2x + (-6 * -5 + x * -5) 45 = 2x + (30 + -5x) Reorder the terms: 45 = 30 + 2x + -5x Combine like terms: 2x + -5x = -3x 45 = 30 + -3x Solving 45 = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + 3x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 3x = 30 + 0 45 + 3x = 30 Add '-45' to each side of the equation. 45 + -45 + 3x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 30 + -45 3x = 30 + -45 Combine like terms: 30 + -45 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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