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Simplifying 4x + -45 = 5(3x + 2) Reorder the terms: -45 + 4x = 5(3x + 2) Reorder the terms: -45 + 4x = 5(2 + 3x) -45 + 4x = (2 * 5 + 3x * 5) -45 + 4x = (10 + 15x) Solving -45 + 4x = 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 + 4x + -15x = 10 + 15x + -15x Combine like terms: 4x + -15x = -11x -45 + -11x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + -11x = 10 + 0 -45 + -11x = 10 Add '45' to each side of the equation. -45 + 45 + -11x = 10 + 45 Combine like terms: -45 + 45 = 0 0 + -11x = 10 + 45 -11x = 10 + 45 Combine like terms: 10 + 45 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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