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Simplifying -6(7x + -5) + -2x = -17 + 3x Reorder the terms: -6(-5 + 7x) + -2x = -17 + 3x (-5 * -6 + 7x * -6) + -2x = -17 + 3x (30 + -42x) + -2x = -17 + 3x Combine like terms: -42x + -2x = -44x 30 + -44x = -17 + 3x Solving 30 + -44x = -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. 30 + -44x + -3x = -17 + 3x + -3x Combine like terms: -44x + -3x = -47x 30 + -47x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -47x = -17 + 0 30 + -47x = -17 Add '-30' to each side of the equation. 30 + -30 + -47x = -17 + -30 Combine like terms: 30 + -30 = 0 0 + -47x = -17 + -30 -47x = -17 + -30 Combine like terms: -17 + -30 = -47 -47x = -47 Divide each side by '-47'. x = 1 Simplifying x = 1
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