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Simplifying 7x + -5(6x + -4) = 6 + -5(x + -6) Reorder the terms: 7x + -5(-4 + 6x) = 6 + -5(x + -6) 7x + (-4 * -5 + 6x * -5) = 6 + -5(x + -6) 7x + (20 + -30x) = 6 + -5(x + -6) Reorder the terms: 20 + 7x + -30x = 6 + -5(x + -6) Combine like terms: 7x + -30x = -23x 20 + -23x = 6 + -5(x + -6) Reorder the terms: 20 + -23x = 6 + -5(-6 + x) 20 + -23x = 6 + (-6 * -5 + x * -5) 20 + -23x = 6 + (30 + -5x) Combine like terms: 6 + 30 = 36 20 + -23x = 36 + -5x Solving 20 + -23x = 36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + -23x + 5x = 36 + -5x + 5x Combine like terms: -23x + 5x = -18x 20 + -18x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -18x = 36 + 0 20 + -18x = 36 Add '-20' to each side of the equation. 20 + -20 + -18x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = 36 + -20 -18x = 36 + -20 Combine like terms: 36 + -20 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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