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Simplifying 4x + 3y + 2 = 6x + 9y + -10 Reorder the terms: 2 + 4x + 3y = 6x + 9y + -10 Reorder the terms: 2 + 4x + 3y = -10 + 6x + 9y Solving 2 + 4x + 3y = -10 + 6x + 9y 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. 2 + 4x + -6x + 3y = -10 + 6x + -6x + 9y Combine like terms: 4x + -6x = -2x 2 + -2x + 3y = -10 + 6x + -6x + 9y Combine like terms: 6x + -6x = 0 2 + -2x + 3y = -10 + 0 + 9y 2 + -2x + 3y = -10 + 9y Add '-2' to each side of the equation. 2 + -2x + -2 + 3y = -10 + -2 + 9y Reorder the terms: 2 + -2 + -2x + 3y = -10 + -2 + 9y Combine like terms: 2 + -2 = 0 0 + -2x + 3y = -10 + -2 + 9y -2x + 3y = -10 + -2 + 9y Combine like terms: -10 + -2 = -12 -2x + 3y = -12 + 9y Add '-3y' to each side of the equation. -2x + 3y + -3y = -12 + 9y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -12 + 9y + -3y -2x = -12 + 9y + -3y Combine like terms: 9y + -3y = 6y -2x = -12 + 6y Divide each side by '-2'. x = 6 + -3y Simplifying x = 6 + -3y
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