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Simplifying 4x + 14 + 6x + -22 = 2x + 80 Reorder the terms: 14 + -22 + 4x + 6x = 2x + 80 Combine like terms: 14 + -22 = -8 -8 + 4x + 6x = 2x + 80 Combine like terms: 4x + 6x = 10x -8 + 10x = 2x + 80 Reorder the terms: -8 + 10x = 80 + 2x Solving -8 + 10x = 80 + 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. -8 + 10x + -2x = 80 + 2x + -2x Combine like terms: 10x + -2x = 8x -8 + 8x = 80 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 8x = 80 + 0 -8 + 8x = 80 Add '8' to each side of the equation. -8 + 8 + 8x = 80 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 80 + 8 8x = 80 + 8 Combine like terms: 80 + 8 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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