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Simplifying 5(2x + 3) + 4x = 3x + 5 Reorder the terms: 5(3 + 2x) + 4x = 3x + 5 (3 * 5 + 2x * 5) + 4x = 3x + 5 (15 + 10x) + 4x = 3x + 5 Combine like terms: 10x + 4x = 14x 15 + 14x = 3x + 5 Reorder the terms: 15 + 14x = 5 + 3x Solving 15 + 14x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 14x + -3x = 5 + 3x + -3x Combine like terms: 14x + -3x = 11x 15 + 11x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 11x = 5 + 0 15 + 11x = 5 Add '-15' to each side of the equation. 15 + -15 + 11x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 5 + -15 11x = 5 + -15 Combine like terms: 5 + -15 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091
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