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Simplifying 3(5x + -1) + -2 = 13x + 3 Reorder the terms: 3(-1 + 5x) + -2 = 13x + 3 (-1 * 3 + 5x * 3) + -2 = 13x + 3 (-3 + 15x) + -2 = 13x + 3 Reorder the terms: -3 + -2 + 15x = 13x + 3 Combine like terms: -3 + -2 = -5 -5 + 15x = 13x + 3 Reorder the terms: -5 + 15x = 3 + 13x Solving -5 + 15x = 3 + 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. -5 + 15x + -13x = 3 + 13x + -13x Combine like terms: 15x + -13x = 2x -5 + 2x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -5 + 2x = 3 + 0 -5 + 2x = 3 Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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