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Simplifying 5 + -3(x + 2) = 5x + -17 Reorder the terms: 5 + -3(2 + x) = 5x + -17 5 + (2 * -3 + x * -3) = 5x + -17 5 + (-6 + -3x) = 5x + -17 Combine like terms: 5 + -6 = -1 -1 + -3x = 5x + -17 Reorder the terms: -1 + -3x = -17 + 5x Solving -1 + -3x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -3x + -5x = -17 + 5x + -5x Combine like terms: -3x + -5x = -8x -1 + -8x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -8x = -17 + 0 -1 + -8x = -17 Add '1' to each side of the equation. -1 + 1 + -8x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = -17 + 1 -8x = -17 + 1 Combine like terms: -17 + 1 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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