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Simplifying 4x + 2 + -9y = 5x + 7y + -10 Reorder the terms: 2 + 4x + -9y = 5x + 7y + -10 Reorder the terms: 2 + 4x + -9y = -10 + 5x + 7y Solving 2 + 4x + -9y = -10 + 5x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 4x + -5x + -9y = -10 + 5x + -5x + 7y Combine like terms: 4x + -5x = -1x 2 + -1x + -9y = -10 + 5x + -5x + 7y Combine like terms: 5x + -5x = 0 2 + -1x + -9y = -10 + 0 + 7y 2 + -1x + -9y = -10 + 7y Add '-2' to each side of the equation. 2 + -1x + -2 + -9y = -10 + -2 + 7y Reorder the terms: 2 + -2 + -1x + -9y = -10 + -2 + 7y Combine like terms: 2 + -2 = 0 0 + -1x + -9y = -10 + -2 + 7y -1x + -9y = -10 + -2 + 7y Combine like terms: -10 + -2 = -12 -1x + -9y = -12 + 7y Add '9y' to each side of the equation. -1x + -9y + 9y = -12 + 7y + 9y Combine like terms: -9y + 9y = 0 -1x + 0 = -12 + 7y + 9y -1x = -12 + 7y + 9y Combine like terms: 7y + 9y = 16y -1x = -12 + 16y Divide each side by '-1'. x = 12 + -16y Simplifying x = 12 + -16y
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