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Simplifying 17 = -6x + -5(-2x + 3) Reorder the terms: 17 = -6x + -5(3 + -2x) 17 = -6x + (3 * -5 + -2x * -5) 17 = -6x + (-15 + 10x) Reorder the terms: 17 = -15 + -6x + 10x Combine like terms: -6x + 10x = 4x 17 = -15 + 4x Solving 17 = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + -4x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -4x = -15 + 0 17 + -4x = -15 Add '-17' to each side of the equation. 17 + -17 + -4x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -15 + -17 -4x = -15 + -17 Combine like terms: -15 + -17 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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