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Simplifying 1000 = 3(x) + 4(x) Combine like terms: 3x + 4x = 7x 1000 = 7x Solving 1000 = 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. 1000 + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 1000 + -7x = 0 Add '-1000' to each side of the equation. 1000 + -1000 + -7x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -7x = 0 + -1000 -7x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -7x = -1000 Divide each side by '-7'. x = 142.8571429 Simplifying x = 142.8571429
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