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Simplifying 10x + 7y + 20 = 4x + 2 Reorder the terms: 20 + 10x + 7y = 4x + 2 Reorder the terms: 20 + 10x + 7y = 2 + 4x Solving 20 + 10x + 7y = 2 + 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. 20 + 10x + -4x + 7y = 2 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x + 7y = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x + 7y = 2 + 0 20 + 6x + 7y = 2 Add '-20' to each side of the equation. 20 + 6x + -20 + 7y = 2 + -20 Reorder the terms: 20 + -20 + 6x + 7y = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 6x + 7y = 2 + -20 6x + 7y = 2 + -20 Combine like terms: 2 + -20 = -18 6x + 7y = -18 Add '-7y' to each side of the equation. 6x + 7y + -7y = -18 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = -18 + -7y 6x = -18 + -7y Divide each side by '6'. x = -3 + -1.166666667y Simplifying x = -3 + -1.166666667y
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