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Simplifying 4(x + 2y) = 7(2x + y) + 5 (x * 4 + 2y * 4) = 7(2x + y) + 5 (4x + 8y) = 7(2x + y) + 5 4x + 8y = (2x * 7 + y * 7) + 5 4x + 8y = (14x + 7y) + 5 Reorder the terms: 4x + 8y = 5 + 14x + 7y Solving 4x + 8y = 5 + 14x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4x + -14x + 8y = 5 + 14x + -14x + 7y Combine like terms: 4x + -14x = -10x -10x + 8y = 5 + 14x + -14x + 7y Combine like terms: 14x + -14x = 0 -10x + 8y = 5 + 0 + 7y -10x + 8y = 5 + 7y Add '-8y' to each side of the equation. -10x + 8y + -8y = 5 + 7y + -8y Combine like terms: 8y + -8y = 0 -10x + 0 = 5 + 7y + -8y -10x = 5 + 7y + -8y Combine like terms: 7y + -8y = -1y -10x = 5 + -1y Divide each side by '-10'. x = -0.5 + 0.1y Simplifying x = -0.5 + 0.1y
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