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Simplifying 4x + -17 = x + 8 + 11 Reorder the terms: -17 + 4x = x + 8 + 11 Reorder the terms: -17 + 4x = 8 + 11 + x Combine like terms: 8 + 11 = 19 -17 + 4x = 19 + x Solving -17 + 4x = 19 + 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 + 4x + -1x = 19 + x + -1x Combine like terms: 4x + -1x = 3x -17 + 3x = 19 + x + -1x Combine like terms: x + -1x = 0 -17 + 3x = 19 + 0 -17 + 3x = 19 Add '17' to each side of the equation. -17 + 17 + 3x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 19 + 17 3x = 19 + 17 Combine like terms: 19 + 17 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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