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Simplifying 3x + -2 = 5(x + 15) Reorder the terms: -2 + 3x = 5(x + 15) Reorder the terms: -2 + 3x = 5(15 + x) -2 + 3x = (15 * 5 + x * 5) -2 + 3x = (75 + 5x) Solving -2 + 3x = 75 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = 75 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = 75 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = 75 + 0 -2 + -2x = 75 Add '2' to each side of the equation. -2 + 2 + -2x = 75 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 75 + 2 -2x = 75 + 2 Combine like terms: 75 + 2 = 77 -2x = 77 Divide each side by '-2'. x = -38.5 Simplifying x = -38.5
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