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Simplifying 4x + -17 + 5x + 11 + -16x + 8x + 31 = 34 + -2x Reorder the terms: -17 + 11 + 31 + 4x + 5x + -16x + 8x = 34 + -2x Combine like terms: -17 + 11 = -6 -6 + 31 + 4x + 5x + -16x + 8x = 34 + -2x Combine like terms: -6 + 31 = 25 25 + 4x + 5x + -16x + 8x = 34 + -2x Combine like terms: 4x + 5x = 9x 25 + 9x + -16x + 8x = 34 + -2x Combine like terms: 9x + -16x = -7x 25 + -7x + 8x = 34 + -2x Combine like terms: -7x + 8x = 1x 25 + 1x = 34 + -2x Solving 25 + 1x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 25 + 1x + 2x = 34 + -2x + 2x Combine like terms: 1x + 2x = 3x 25 + 3x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + 3x = 34 + 0 25 + 3x = 34 Add '-25' to each side of the equation. 25 + -25 + 3x = 34 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 34 + -25 3x = 34 + -25 Combine like terms: 34 + -25 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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