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Simplifying 4(x + 6) + 2y = 6x Reorder the terms: 4(6 + x) + 2y = 6x (6 * 4 + x * 4) + 2y = 6x (24 + 4x) + 2y = 6x Solving 24 + 4x + 2y = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 4x + -6x + 2y = 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x + 2y = 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x + 2y = 0 Add '-24' to each side of the equation. 24 + -2x + -24 + 2y = 0 + -24 Reorder the terms: 24 + -24 + -2x + 2y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2x + 2y = 0 + -24 -2x + 2y = 0 + -24 Combine like terms: 0 + -24 = -24 -2x + 2y = -24 Add '-2y' to each side of the equation. -2x + 2y + -2y = -24 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -24 + -2y -2x = -24 + -2y Divide each side by '-2'. x = 12 + y Simplifying x = 12 + y
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