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Simplifying 5(3x + 5) + -2x = 114 Reorder the terms: 5(5 + 3x) + -2x = 114 (5 * 5 + 3x * 5) + -2x = 114 (25 + 15x) + -2x = 114 Combine like terms: 15x + -2x = 13x 25 + 13x = 114 Solving 25 + 13x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 13x = 114 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 114 + -25 13x = 114 + -25 Combine like terms: 114 + -25 = 89 13x = 89 Divide each side by '13'. x = 6.846153846 Simplifying x = 6.846153846
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