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Simplifying 2(x + -100) = 64 + 6x Reorder the terms: 2(-100 + x) = 64 + 6x (-100 * 2 + x * 2) = 64 + 6x (-200 + 2x) = 64 + 6x Solving -200 + 2x = 64 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -200 + 2x + -6x = 64 + 6x + -6x Combine like terms: 2x + -6x = -4x -200 + -4x = 64 + 6x + -6x Combine like terms: 6x + -6x = 0 -200 + -4x = 64 + 0 -200 + -4x = 64 Add '200' to each side of the equation. -200 + 200 + -4x = 64 + 200 Combine like terms: -200 + 200 = 0 0 + -4x = 64 + 200 -4x = 64 + 200 Combine like terms: 64 + 200 = 264 -4x = 264 Divide each side by '-4'. x = -66 Simplifying x = -66
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