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Simplifying 78 + -30(x + y) = 3x 78 + (x * -30 + y * -30) = 3x 78 + (-30x + -30y) = 3x Solving 78 + -30x + -30y = 3x 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. 78 + -30x + -3x + -30y = 3x + -3x Combine like terms: -30x + -3x = -33x 78 + -33x + -30y = 3x + -3x Combine like terms: 3x + -3x = 0 78 + -33x + -30y = 0 Add '-78' to each side of the equation. 78 + -33x + -78 + -30y = 0 + -78 Reorder the terms: 78 + -78 + -33x + -30y = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -33x + -30y = 0 + -78 -33x + -30y = 0 + -78 Combine like terms: 0 + -78 = -78 -33x + -30y = -78 Add '30y' to each side of the equation. -33x + -30y + 30y = -78 + 30y Combine like terms: -30y + 30y = 0 -33x + 0 = -78 + 30y -33x = -78 + 30y Divide each side by '-33'. x = 2.363636364 + -0.9090909091y Simplifying x = 2.363636364 + -0.9090909091y
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