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Simplifying x + 2(y + -5) = 2x + 2 Reorder the terms: x + 2(-5 + y) = 2x + 2 x + (-5 * 2 + y * 2) = 2x + 2 x + (-10 + 2y) = 2x + 2 Reorder the terms: -10 + x + 2y = 2x + 2 Reorder the terms: -10 + x + 2y = 2 + 2x Solving -10 + x + 2y = 2 + 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. -10 + x + -2x + 2y = 2 + 2x + -2x Combine like terms: x + -2x = -1x -10 + -1x + 2y = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -1x + 2y = 2 + 0 -10 + -1x + 2y = 2 Add '10' to each side of the equation. -10 + -1x + 10 + 2y = 2 + 10 Reorder the terms: -10 + 10 + -1x + 2y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -1x + 2y = 2 + 10 -1x + 2y = 2 + 10 Combine like terms: 2 + 10 = 12 -1x + 2y = 12 Add '-2y' to each side of the equation. -1x + 2y + -2y = 12 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 12 + -2y -1x = 12 + -2y Divide each side by '-1'. x = -12 + 2y Simplifying x = -12 + 2y
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