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Simplifying y + 2x + 10 = 4x + 5 Reorder the terms: 10 + 2x + y = 4x + 5 Reorder the terms: 10 + 2x + y = 5 + 4x Solving 10 + 2x + y = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 2x + -4x + y = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x + y = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x + y = 5 + 0 10 + -2x + y = 5 Add '-10' to each side of the equation. 10 + -2x + -10 + y = 5 + -10 Reorder the terms: 10 + -10 + -2x + y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + y = 5 + -10 -2x + y = 5 + -10 Combine like terms: 5 + -10 = -5 -2x + y = -5 Add '-1y' to each side of the equation. -2x + y + -1y = -5 + -1y Combine like terms: y + -1y = 0 -2x + 0 = -5 + -1y -2x = -5 + -1y Divide each side by '-2'. x = 2.5 + 0.5y Simplifying x = 2.5 + 0.5y
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