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Simplifying 2(x + -4) + 5 = x + 17 Reorder the terms: 2(-4 + x) + 5 = x + 17 (-4 * 2 + x * 2) + 5 = x + 17 (-8 + 2x) + 5 = x + 17 Reorder the terms: -8 + 5 + 2x = x + 17 Combine like terms: -8 + 5 = -3 -3 + 2x = x + 17 Reorder the terms: -3 + 2x = 17 + x Solving -3 + 2x = 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. -3 + 2x + -1x = 17 + x + -1x Combine like terms: 2x + -1x = 1x -3 + 1x = 17 + x + -1x Combine like terms: x + -1x = 0 -3 + 1x = 17 + 0 -3 + 1x = 17 Add '3' to each side of the equation. -3 + 3 + 1x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 17 + 3 1x = 17 + 3 Combine like terms: 17 + 3 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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