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Simplifying 45 = 5(3x + -2) Reorder the terms: 45 = 5(-2 + 3x) 45 = (-2 * 5 + 3x * 5) 45 = (-10 + 15x) Solving 45 = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + -15x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -15x = -10 + 0 45 + -15x = -10 Add '-45' to each side of the equation. 45 + -45 + -15x = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = -10 + -45 -15x = -10 + -45 Combine like terms: -10 + -45 = -55 -15x = -55 Divide each side by '-15'. x = 3.666666667 Simplifying x = 3.666666667
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