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Simplifying 2(y + 5) + 6x = 4x Reorder the terms: 2(5 + y) + 6x = 4x (5 * 2 + y * 2) + 6x = 4x (10 + 2y) + 6x = 4x Reorder the terms: 10 + 6x + 2y = 4x Solving 10 + 6x + 2y = 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 + 6x + -4x + 2y = 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x + 2y = 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x + 2y = 0 Add '-10' to each side of the equation. 10 + 2x + -10 + 2y = 0 + -10 Reorder the terms: 10 + -10 + 2x + 2y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + 2y = 0 + -10 2x + 2y = 0 + -10 Combine like terms: 0 + -10 = -10 2x + 2y = -10 Add '-2y' to each side of the equation. 2x + 2y + -2y = -10 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = -10 + -2y 2x = -10 + -2y Divide each side by '2'. x = -5 + -1y Simplifying x = -5 + -1y
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