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Simplifying 6y + 6x + 18 = 3y + 23 + 10x + -8 Reorder the terms: 18 + 6x + 6y = 3y + 23 + 10x + -8 Reorder the terms: 18 + 6x + 6y = 23 + -8 + 10x + 3y Combine like terms: 23 + -8 = 15 18 + 6x + 6y = 15 + 10x + 3y Solving 18 + 6x + 6y = 15 + 10x + 3y 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. 18 + 6x + -10x + 6y = 15 + 10x + -10x + 3y Combine like terms: 6x + -10x = -4x 18 + -4x + 6y = 15 + 10x + -10x + 3y Combine like terms: 10x + -10x = 0 18 + -4x + 6y = 15 + 0 + 3y 18 + -4x + 6y = 15 + 3y Add '-18' to each side of the equation. 18 + -4x + -18 + 6y = 15 + -18 + 3y Reorder the terms: 18 + -18 + -4x + 6y = 15 + -18 + 3y Combine like terms: 18 + -18 = 0 0 + -4x + 6y = 15 + -18 + 3y -4x + 6y = 15 + -18 + 3y Combine like terms: 15 + -18 = -3 -4x + 6y = -3 + 3y Add '-6y' to each side of the equation. -4x + 6y + -6y = -3 + 3y + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = -3 + 3y + -6y -4x = -3 + 3y + -6y Combine like terms: 3y + -6y = -3y -4x = -3 + -3y Divide each side by '-4'. x = 0.75 + 0.75y Simplifying x = 0.75 + 0.75y
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