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Simplifying 100 + -2x * 2 + -5y * 2 = 0 Reorder the terms for easier multiplication: 100 + -2 * 2x + -5y * 2 = 0 Multiply -2 * 2 100 + -4x + -5y * 2 = 0 Reorder the terms for easier multiplication: 100 + -4x + -5 * 2y = 0 Multiply -5 * 2 100 + -4x + -10y = 0 Solving 100 + -4x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -4x + -100 + -10y = 0 + -100 Reorder the terms: 100 + -100 + -4x + -10y = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -4x + -10y = 0 + -100 -4x + -10y = 0 + -100 Combine like terms: 0 + -100 = -100 -4x + -10y = -100 Add '10y' to each side of the equation. -4x + -10y + 10y = -100 + 10y Combine like terms: -10y + 10y = 0 -4x + 0 = -100 + 10y -4x = -100 + 10y Divide each side by '-4'. x = 25 + -2.5y Simplifying x = 25 + -2.5y
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