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Simplifying 4(2x + -5) + 2 = x + 17 Reorder the terms: 4(-5 + 2x) + 2 = x + 17 (-5 * 4 + 2x * 4) + 2 = x + 17 (-20 + 8x) + 2 = x + 17 Reorder the terms: -20 + 2 + 8x = x + 17 Combine like terms: -20 + 2 = -18 -18 + 8x = x + 17 Reorder the terms: -18 + 8x = 17 + x Solving -18 + 8x = 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. -18 + 8x + -1x = 17 + x + -1x Combine like terms: 8x + -1x = 7x -18 + 7x = 17 + x + -1x Combine like terms: x + -1x = 0 -18 + 7x = 17 + 0 -18 + 7x = 17 Add '18' to each side of the equation. -18 + 18 + 7x = 17 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 17 + 18 7x = 17 + 18 Combine like terms: 17 + 18 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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