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Simplifying 5(3x + 2) + -4x = 84 Reorder the terms: 5(2 + 3x) + -4x = 84 (2 * 5 + 3x * 5) + -4x = 84 (10 + 15x) + -4x = 84 Combine like terms: 15x + -4x = 11x 10 + 11x = 84 Solving 10 + 11x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 84 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 84 + -10 11x = 84 + -10 Combine like terms: 84 + -10 = 74 11x = 74 Divide each side by '11'. x = 6.727272727 Simplifying x = 6.727272727
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