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Simplifying 5(3x + 1) + 2x = 4x + 5 Reorder the terms: 5(1 + 3x) + 2x = 4x + 5 (1 * 5 + 3x * 5) + 2x = 4x + 5 (5 + 15x) + 2x = 4x + 5 Combine like terms: 15x + 2x = 17x 5 + 17x = 4x + 5 Reorder the terms: 5 + 17x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 17x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 17x = 5 + -5 + 4x 17x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 17x = 0 + 4x 17x = 4x Solving 17x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17x + -4x = 4x + -4x Combine like terms: 17x + -4x = 13x 13x = 4x + -4x Combine like terms: 4x + -4x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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