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Simplifying -1(2x + 300) + (x + 100) = 2x(3 + -1) Reorder the terms: -1(300 + 2x) + (x + 100) = 2x(3 + -1) (300 * -1 + 2x * -1) + (x + 100) = 2x(3 + -1) (-300 + -2x) + (x + 100) = 2x(3 + -1) Reorder the terms: -300 + -2x + (100 + x) = 2x(3 + -1) Remove parenthesis around (100 + x) -300 + -2x + 100 + x = 2x(3 + -1) Reorder the terms: -300 + 100 + -2x + x = 2x(3 + -1) Combine like terms: -300 + 100 = -200 -200 + -2x + x = 2x(3 + -1) Combine like terms: -2x + x = -1x -200 + -1x = 2x(3 + -1) Combine like terms: 3 + -1 = 2 -200 + -1x = 2x(2) Reorder the terms for easier multiplication: -200 + -1x = 2 * 2x Multiply 2 * 2 -200 + -1x = 4x Solving -200 + -1x = 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. -200 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x -200 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 -200 + -5x = 0 Add '200' to each side of the equation. -200 + 200 + -5x = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -5x = 0 + 200 -5x = 0 + 200 Combine like terms: 0 + 200 = 200 -5x = 200 Divide each side by '-5'. x = -40 Simplifying x = -40
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