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Simplifying 74 + 90 + 106 + 8x + x = 180(x + -2) Combine like terms: 74 + 90 = 164 164 + 106 + 8x + x = 180(x + -2) Combine like terms: 164 + 106 = 270 270 + 8x + x = 180(x + -2) Combine like terms: 8x + x = 9x 270 + 9x = 180(x + -2) Reorder the terms: 270 + 9x = 180(-2 + x) 270 + 9x = (-2 * 180 + x * 180) 270 + 9x = (-360 + 180x) Solving 270 + 9x = -360 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 270 + 9x + -180x = -360 + 180x + -180x Combine like terms: 9x + -180x = -171x 270 + -171x = -360 + 180x + -180x Combine like terms: 180x + -180x = 0 270 + -171x = -360 + 0 270 + -171x = -360 Add '-270' to each side of the equation. 270 + -270 + -171x = -360 + -270 Combine like terms: 270 + -270 = 0 0 + -171x = -360 + -270 -171x = -360 + -270 Combine like terms: -360 + -270 = -630 -171x = -630 Divide each side by '-171'. x = 3.684210526 Simplifying x = 3.684210526
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