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Simplifying 5(x + -3) = x + 17 Reorder the terms: 5(-3 + x) = x + 17 (-3 * 5 + x * 5) = x + 17 (-15 + 5x) = x + 17 Reorder the terms: -15 + 5x = 17 + x Solving -15 + 5x = 17 + 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. -15 + 5x + -1x = 17 + x + -1x Combine like terms: 5x + -1x = 4x -15 + 4x = 17 + x + -1x Combine like terms: x + -1x = 0 -15 + 4x = 17 + 0 -15 + 4x = 17 Add '15' to each side of the equation. -15 + 15 + 4x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 17 + 15 4x = 17 + 15 Combine like terms: 17 + 15 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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