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Simplifying 4(-2x + 25) + -2y = 38 Reorder the terms: 4(25 + -2x) + -2y = 38 (25 * 4 + -2x * 4) + -2y = 38 (100 + -8x) + -2y = 38 Solving 100 + -8x + -2y = 38 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 + -8x + -100 + -2y = 38 + -100 Reorder the terms: 100 + -100 + -8x + -2y = 38 + -100 Combine like terms: 100 + -100 = 0 0 + -8x + -2y = 38 + -100 -8x + -2y = 38 + -100 Combine like terms: 38 + -100 = -62 -8x + -2y = -62 Add '2y' to each side of the equation. -8x + -2y + 2y = -62 + 2y Combine like terms: -2y + 2y = 0 -8x + 0 = -62 + 2y -8x = -62 + 2y Divide each side by '-8'. x = 7.75 + -0.25y Simplifying x = 7.75 + -0.25y
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