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Simplifying 45 = 3x + -1(360 + -3x) 45 = 3x + (360 * -1 + -3x * -1) 45 = 3x + (-360 + 3x) Reorder the terms: 45 = -360 + 3x + 3x Combine like terms: 3x + 3x = 6x 45 = -360 + 6x Solving 45 = -360 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + -6x = -360 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -6x = -360 + 0 45 + -6x = -360 Add '-45' to each side of the equation. 45 + -45 + -6x = -360 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = -360 + -45 -6x = -360 + -45 Combine like terms: -360 + -45 = -405 -6x = -405 Divide each side by '-6'. x = 67.5 Simplifying x = 67.5
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