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Simplifying 4x + 6y + 3 + -2y = 10x + -5 Reorder the terms: 3 + 4x + 6y + -2y = 10x + -5 Combine like terms: 6y + -2y = 4y 3 + 4x + 4y = 10x + -5 Reorder the terms: 3 + 4x + 4y = -5 + 10x Solving 3 + 4x + 4y = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 4x + -10x + 4y = -5 + 10x + -10x Combine like terms: 4x + -10x = -6x 3 + -6x + 4y = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -6x + 4y = -5 + 0 3 + -6x + 4y = -5 Add '-3' to each side of the equation. 3 + -6x + -3 + 4y = -5 + -3 Reorder the terms: 3 + -3 + -6x + 4y = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -6x + 4y = -5 + -3 -6x + 4y = -5 + -3 Combine like terms: -5 + -3 = -8 -6x + 4y = -8 Add '-4y' to each side of the equation. -6x + 4y + -4y = -8 + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -8 + -4y -6x = -8 + -4y Divide each side by '-6'. x = 1.333333333 + 0.6666666667y Simplifying x = 1.333333333 + 0.6666666667y
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