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Simplifying 3x + -17 = -1(-2x + 10) Reorder the terms: -17 + 3x = -1(-2x + 10) Reorder the terms: -17 + 3x = -1(10 + -2x) -17 + 3x = (10 * -1 + -2x * -1) -17 + 3x = (-10 + 2x) Solving -17 + 3x = -10 + 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. -17 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = -10 + 0 -17 + 1x = -10 Add '17' to each side of the equation. -17 + 17 + 1x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -10 + 17 1x = -10 + 17 Combine like terms: -10 + 17 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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