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Simplifying 6(2x + -1(4 + -7y + 5x) + 6y) = 7 Reorder the terms: 6(2x + -1(4 + 5x + -7y) + 6y) = 7 6(2x + (4 * -1 + 5x * -1 + -7y * -1) + 6y) = 7 6(2x + (-4 + -5x + 7y) + 6y) = 7 Reorder the terms: 6(-4 + 2x + -5x + 7y + 6y) = 7 Combine like terms: 2x + -5x = -3x 6(-4 + -3x + 7y + 6y) = 7 Combine like terms: 7y + 6y = 13y 6(-4 + -3x + 13y) = 7 (-4 * 6 + -3x * 6 + 13y * 6) = 7 (-24 + -18x + 78y) = 7 Solving -24 + -18x + 78y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -18x + 24 + 78y = 7 + 24 Reorder the terms: -24 + 24 + -18x + 78y = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -18x + 78y = 7 + 24 -18x + 78y = 7 + 24 Combine like terms: 7 + 24 = 31 -18x + 78y = 31 Add '-78y' to each side of the equation. -18x + 78y + -78y = 31 + -78y Combine like terms: 78y + -78y = 0 -18x + 0 = 31 + -78y -18x = 31 + -78y Divide each side by '-18'. x = -1.722222222 + 4.333333333y Simplifying x = -1.722222222 + 4.333333333y
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