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Simplifying 5x + -3(x + 3) + -8 = x + 1 Reorder the terms: 5x + -3(3 + x) + -8 = x + 1 5x + (3 * -3 + x * -3) + -8 = x + 1 5x + (-9 + -3x) + -8 = x + 1 Reorder the terms: -9 + -8 + 5x + -3x = x + 1 Combine like terms: -9 + -8 = -17 -17 + 5x + -3x = x + 1 Combine like terms: 5x + -3x = 2x -17 + 2x = x + 1 Reorder the terms: -17 + 2x = 1 + x Solving -17 + 2x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x -17 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 -17 + 1x = 1 + 0 -17 + 1x = 1 Add '17' to each side of the equation. -17 + 17 + 1x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 1 + 17 1x = 1 + 17 Combine like terms: 1 + 17 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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