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Simplifying 1150 + 700 + 6x = 700 + 500 + 8x Combine like terms: 1150 + 700 = 1850 1850 + 6x = 700 + 500 + 8x Combine like terms: 700 + 500 = 1200 1850 + 6x = 1200 + 8x Solving 1850 + 6x = 1200 + 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. 1850 + 6x + -8x = 1200 + 8x + -8x Combine like terms: 6x + -8x = -2x 1850 + -2x = 1200 + 8x + -8x Combine like terms: 8x + -8x = 0 1850 + -2x = 1200 + 0 1850 + -2x = 1200 Add '-1850' to each side of the equation. 1850 + -1850 + -2x = 1200 + -1850 Combine like terms: 1850 + -1850 = 0 0 + -2x = 1200 + -1850 -2x = 1200 + -1850 Combine like terms: 1200 + -1850 = -650 -2x = -650 Divide each side by '-2'. x = 325 Simplifying x = 325
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