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Simplifying 3x + -1(x + -3) = -2x + -17 Reorder the terms: 3x + -1(-3 + x) = -2x + -17 3x + (-3 * -1 + x * -1) = -2x + -17 3x + (3 + -1x) = -2x + -17 Reorder the terms: 3 + 3x + -1x = -2x + -17 Combine like terms: 3x + -1x = 2x 3 + 2x = -2x + -17 Reorder the terms: 3 + 2x = -17 + -2x Solving 3 + 2x = -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. 3 + 2x + 2x = -17 + -2x + 2x Combine like terms: 2x + 2x = 4x 3 + 4x = -17 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 4x = -17 + 0 3 + 4x = -17 Add '-3' to each side of the equation. 3 + -3 + 4x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -17 + -3 4x = -17 + -3 Combine like terms: -17 + -3 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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