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Simplifying 1000 + 25(x + -12) = 740 + 32(x + -10) Reorder the terms: 1000 + 25(-12 + x) = 740 + 32(x + -10) 1000 + (-12 * 25 + x * 25) = 740 + 32(x + -10) 1000 + (-300 + 25x) = 740 + 32(x + -10) Combine like terms: 1000 + -300 = 700 700 + 25x = 740 + 32(x + -10) Reorder the terms: 700 + 25x = 740 + 32(-10 + x) 700 + 25x = 740 + (-10 * 32 + x * 32) 700 + 25x = 740 + (-320 + 32x) Combine like terms: 740 + -320 = 420 700 + 25x = 420 + 32x Solving 700 + 25x = 420 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 700 + 25x + -32x = 420 + 32x + -32x Combine like terms: 25x + -32x = -7x 700 + -7x = 420 + 32x + -32x Combine like terms: 32x + -32x = 0 700 + -7x = 420 + 0 700 + -7x = 420 Add '-700' to each side of the equation. 700 + -700 + -7x = 420 + -700 Combine like terms: 700 + -700 = 0 0 + -7x = 420 + -700 -7x = 420 + -700 Combine like terms: 420 + -700 = -280 -7x = -280 Divide each side by '-7'. x = 40 Simplifying x = 40
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