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Simplifying 4x + 11 + 3x + 22 = 8x + 16 Reorder the terms: 11 + 22 + 4x + 3x = 8x + 16 Combine like terms: 11 + 22 = 33 33 + 4x + 3x = 8x + 16 Combine like terms: 4x + 3x = 7x 33 + 7x = 8x + 16 Reorder the terms: 33 + 7x = 16 + 8x Solving 33 + 7x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 33 + 7x + -8x = 16 + 8x + -8x Combine like terms: 7x + -8x = -1x 33 + -1x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 33 + -1x = 16 + 0 33 + -1x = 16 Add '-33' to each side of the equation. 33 + -33 + -1x = 16 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 16 + -33 -1x = 16 + -33 Combine like terms: 16 + -33 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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