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Simplifying 3x + -1(x + 1000) = 4x + -3000 Reorder the terms: 3x + -1(1000 + x) = 4x + -3000 3x + (1000 * -1 + x * -1) = 4x + -3000 3x + (-1000 + -1x) = 4x + -3000 Reorder the terms: -1000 + 3x + -1x = 4x + -3000 Combine like terms: 3x + -1x = 2x -1000 + 2x = 4x + -3000 Reorder the terms: -1000 + 2x = -3000 + 4x Solving -1000 + 2x = -3000 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1000 + 2x + -4x = -3000 + 4x + -4x Combine like terms: 2x + -4x = -2x -1000 + -2x = -3000 + 4x + -4x Combine like terms: 4x + -4x = 0 -1000 + -2x = -3000 + 0 -1000 + -2x = -3000 Add '1000' to each side of the equation. -1000 + 1000 + -2x = -3000 + 1000 Combine like terms: -1000 + 1000 = 0 0 + -2x = -3000 + 1000 -2x = -3000 + 1000 Combine like terms: -3000 + 1000 = -2000 -2x = -2000 Divide each side by '-2'. x = 1000 Simplifying x = 1000
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