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Simplifying 3(2x + -5) = 3x + 17 + -5x Reorder the terms: 3(-5 + 2x) = 3x + 17 + -5x (-5 * 3 + 2x * 3) = 3x + 17 + -5x (-15 + 6x) = 3x + 17 + -5x Reorder the terms: -15 + 6x = 17 + 3x + -5x Combine like terms: 3x + -5x = -2x -15 + 6x = 17 + -2x Solving -15 + 6x = 17 + -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. -15 + 6x + 2x = 17 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = 17 + 0 -15 + 8x = 17 Add '15' to each side of the equation. -15 + 15 + 8x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 17 + 15 8x = 17 + 15 Combine like terms: 17 + 15 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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