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Simplifying 5(x + -2) + 4 = 3x + -17 Reorder the terms: 5(-2 + x) + 4 = 3x + -17 (-2 * 5 + x * 5) + 4 = 3x + -17 (-10 + 5x) + 4 = 3x + -17 Reorder the terms: -10 + 4 + 5x = 3x + -17 Combine like terms: -10 + 4 = -6 -6 + 5x = 3x + -17 Reorder the terms: -6 + 5x = -17 + 3x Solving -6 + 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. -6 + 5x + -3x = -17 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = -17 + 0 -6 + 2x = -17 Add '6' to each side of the equation. -6 + 6 + 2x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -17 + 6 2x = -17 + 6 Combine like terms: -17 + 6 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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