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Simplifying 45 = 3x + 5(-6x + -18) Reorder the terms: 45 = 3x + 5(-18 + -6x) 45 = 3x + (-18 * 5 + -6x * 5) 45 = 3x + (-90 + -30x) Reorder the terms: 45 = -90 + 3x + -30x Combine like terms: 3x + -30x = -27x 45 = -90 + -27x Solving 45 = -90 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 45 + 27x = -90 + -27x + 27x Combine like terms: -27x + 27x = 0 45 + 27x = -90 + 0 45 + 27x = -90 Add '-45' to each side of the equation. 45 + -45 + 27x = -90 + -45 Combine like terms: 45 + -45 = 0 0 + 27x = -90 + -45 27x = -90 + -45 Combine like terms: -90 + -45 = -135 27x = -135 Divide each side by '27'. x = -5 Simplifying x = -5
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