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Simplifying 10y + -2(3 + -1x) = 2y + 3x 10y + (3 * -2 + -1x * -2) = 2y + 3x 10y + (-6 + 2x) = 2y + 3x Reorder the terms: -6 + 2x + 10y = 2y + 3x Reorder the terms: -6 + 2x + 10y = 3x + 2y Solving -6 + 2x + 10y = 3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 2x + -3x + 10y = 3x + -3x + 2y Combine like terms: 2x + -3x = -1x -6 + -1x + 10y = 3x + -3x + 2y Combine like terms: 3x + -3x = 0 -6 + -1x + 10y = 0 + 2y -6 + -1x + 10y = 2y Add '6' to each side of the equation. -6 + -1x + 6 + 10y = 6 + 2y Reorder the terms: -6 + 6 + -1x + 10y = 6 + 2y Combine like terms: -6 + 6 = 0 0 + -1x + 10y = 6 + 2y -1x + 10y = 6 + 2y Add '-10y' to each side of the equation. -1x + 10y + -10y = 6 + 2y + -10y Combine like terms: 10y + -10y = 0 -1x + 0 = 6 + 2y + -10y -1x = 6 + 2y + -10y Combine like terms: 2y + -10y = -8y -1x = 6 + -8y Divide each side by '-1'. x = -6 + 8y Simplifying x = -6 + 8y
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