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Simplifying 3(x + -5) + 2x = 5x + -15x Reorder the terms: 3(-5 + x) + 2x = 5x + -15x (-5 * 3 + x * 3) + 2x = 5x + -15x (-15 + 3x) + 2x = 5x + -15x Combine like terms: 3x + 2x = 5x -15 + 5x = 5x + -15x Combine like terms: 5x + -15x = -10x -15 + 5x = -10x Solving -15 + 5x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -15 + 5x + 10x = -10x + 10x Combine like terms: 5x + 10x = 15x -15 + 15x = -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 15x = 0 Add '15' to each side of the equation. -15 + 15 + 15x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 0 + 15 15x = 0 + 15 Combine like terms: 0 + 15 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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