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Simplifying 3(5x + 2) + -16 = 13x + 4 Reorder the terms: 3(2 + 5x) + -16 = 13x + 4 (2 * 3 + 5x * 3) + -16 = 13x + 4 (6 + 15x) + -16 = 13x + 4 Reorder the terms: 6 + -16 + 15x = 13x + 4 Combine like terms: 6 + -16 = -10 -10 + 15x = 13x + 4 Reorder the terms: -10 + 15x = 4 + 13x Solving -10 + 15x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 15x + -13x = 4 + 13x + -13x Combine like terms: 15x + -13x = 2x -10 + 2x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 2x = 4 + 0 -10 + 2x = 4 Add '10' to each side of the equation. -10 + 10 + 2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 4 + 10 2x = 4 + 10 Combine like terms: 4 + 10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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