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Simplifying 200 = 6x + -1(100 + 4x) 200 = 6x + (100 * -1 + 4x * -1) 200 = 6x + (-100 + -4x) Reorder the terms: 200 = -100 + 6x + -4x Combine like terms: 6x + -4x = 2x 200 = -100 + 2x Solving 200 = -100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 200 + -2x = -100 + 2x + -2x Combine like terms: 2x + -2x = 0 200 + -2x = -100 + 0 200 + -2x = -100 Add '-200' to each side of the equation. 200 + -200 + -2x = -100 + -200 Combine like terms: 200 + -200 = 0 0 + -2x = -100 + -200 -2x = -100 + -200 Combine like terms: -100 + -200 = -300 -2x = -300 Divide each side by '-2'. x = 150 Simplifying x = 150
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