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Simplifying 5x + 5(-2x + -3) = -17 + -3x Reorder the terms: 5x + 5(-3 + -2x) = -17 + -3x 5x + (-3 * 5 + -2x * 5) = -17 + -3x 5x + (-15 + -10x) = -17 + -3x Reorder the terms: -15 + 5x + -10x = -17 + -3x Combine like terms: 5x + -10x = -5x -15 + -5x = -17 + -3x Solving -15 + -5x = -17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + -5x + 3x = -17 + -3x + 3x Combine like terms: -5x + 3x = -2x -15 + -2x = -17 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + -2x = -17 + 0 -15 + -2x = -17 Add '15' to each side of the equation. -15 + 15 + -2x = -17 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -17 + 15 -2x = -17 + 15 Combine like terms: -17 + 15 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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