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Simplifying 3(5x + -1) = 2(x + 4) Reorder the terms: 3(-1 + 5x) = 2(x + 4) (-1 * 3 + 5x * 3) = 2(x + 4) (-3 + 15x) = 2(x + 4) Reorder the terms: -3 + 15x = 2(4 + x) -3 + 15x = (4 * 2 + x * 2) -3 + 15x = (8 + 2x) Solving -3 + 15x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 15x + -2x = 8 + 2x + -2x Combine like terms: 15x + -2x = 13x -3 + 13x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 13x = 8 + 0 -3 + 13x = 8 Add '3' to each side of the equation. -3 + 3 + 13x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 8 + 3 13x = 8 + 3 Combine like terms: 8 + 3 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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