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Simplifying 2y + -6 = 2x + 2y + -14 Reorder the terms: -6 + 2y = 2x + 2y + -14 Reorder the terms: -6 + 2y = -14 + 2x + 2y Add '-2y' to each side of the equation. -6 + 2y + -2y = -14 + 2x + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 0 = -14 + 2x + 2y + -2y -6 = -14 + 2x + 2y + -2y Combine like terms: 2y + -2y = 0 -6 = -14 + 2x + 0 -6 = -14 + 2x Solving -6 = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -2x = -14 + 0 -6 + -2x = -14 Add '6' to each side of the equation. -6 + 6 + -2x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -14 + 6 -2x = -14 + 6 Combine like terms: -14 + 6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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