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Simplifying 1150 + 700 + 5x = 750 + 400 + 7x Combine like terms: 1150 + 700 = 1850 1850 + 5x = 750 + 400 + 7x Combine like terms: 750 + 400 = 1150 1850 + 5x = 1150 + 7x Solving 1850 + 5x = 1150 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1850 + 5x + -7x = 1150 + 7x + -7x Combine like terms: 5x + -7x = -2x 1850 + -2x = 1150 + 7x + -7x Combine like terms: 7x + -7x = 0 1850 + -2x = 1150 + 0 1850 + -2x = 1150 Add '-1850' to each side of the equation. 1850 + -1850 + -2x = 1150 + -1850 Combine like terms: 1850 + -1850 = 0 0 + -2x = 1150 + -1850 -2x = 1150 + -1850 Combine like terms: 1150 + -1850 = -700 -2x = -700 Divide each side by '-2'. x = 350 Simplifying x = 350
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