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Simplifying 4x + -5(6x + -6) = 2 + -7(x + -5) Reorder the terms: 4x + -5(-6 + 6x) = 2 + -7(x + -5) 4x + (-6 * -5 + 6x * -5) = 2 + -7(x + -5) 4x + (30 + -30x) = 2 + -7(x + -5) Reorder the terms: 30 + 4x + -30x = 2 + -7(x + -5) Combine like terms: 4x + -30x = -26x 30 + -26x = 2 + -7(x + -5) Reorder the terms: 30 + -26x = 2 + -7(-5 + x) 30 + -26x = 2 + (-5 * -7 + x * -7) 30 + -26x = 2 + (35 + -7x) Combine like terms: 2 + 35 = 37 30 + -26x = 37 + -7x Solving 30 + -26x = 37 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 30 + -26x + 7x = 37 + -7x + 7x Combine like terms: -26x + 7x = -19x 30 + -19x = 37 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + -19x = 37 + 0 30 + -19x = 37 Add '-30' to each side of the equation. 30 + -30 + -19x = 37 + -30 Combine like terms: 30 + -30 = 0 0 + -19x = 37 + -30 -19x = 37 + -30 Combine like terms: 37 + -30 = 7 -19x = 7 Divide each side by '-19'. x = -0.3684210526 Simplifying x = -0.3684210526
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