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Simplifying 2x + 4(-1x + 100) = 100 Reorder the terms: 2x + 4(100 + -1x) = 100 2x + (100 * 4 + -1x * 4) = 100 2x + (400 + -4x) = 100 Reorder the terms: 400 + 2x + -4x = 100 Combine like terms: 2x + -4x = -2x 400 + -2x = 100 Solving 400 + -2x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -2x = 100 + -400 Combine like terms: 400 + -400 = 0 0 + -2x = 100 + -400 -2x = 100 + -400 Combine like terms: 100 + -400 = -300 -2x = -300 Divide each side by '-2'. x = 150 Simplifying x = 150
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