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Simplifying 8x + 54 + 2x + 102 = 180 + -8x + 54 Reorder the terms: 54 + 102 + 8x + 2x = 180 + -8x + 54 Combine like terms: 54 + 102 = 156 156 + 8x + 2x = 180 + -8x + 54 Combine like terms: 8x + 2x = 10x 156 + 10x = 180 + -8x + 54 Reorder the terms: 156 + 10x = 180 + 54 + -8x Combine like terms: 180 + 54 = 234 156 + 10x = 234 + -8x Solving 156 + 10x = 234 + -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. 156 + 10x + 8x = 234 + -8x + 8x Combine like terms: 10x + 8x = 18x 156 + 18x = 234 + -8x + 8x Combine like terms: -8x + 8x = 0 156 + 18x = 234 + 0 156 + 18x = 234 Add '-156' to each side of the equation. 156 + -156 + 18x = 234 + -156 Combine like terms: 156 + -156 = 0 0 + 18x = 234 + -156 18x = 234 + -156 Combine like terms: 234 + -156 = 78 18x = 78 Divide each side by '18'. x = 4.333333333 Simplifying x = 4.333333333
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