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Simplifying 6(5 + -3x) + -4 = -8 + -2(3 + 7x) (5 * 6 + -3x * 6) + -4 = -8 + -2(3 + 7x) (30 + -18x) + -4 = -8 + -2(3 + 7x) Reorder the terms: 30 + -4 + -18x = -8 + -2(3 + 7x) Combine like terms: 30 + -4 = 26 26 + -18x = -8 + -2(3 + 7x) 26 + -18x = -8 + (3 * -2 + 7x * -2) 26 + -18x = -8 + (-6 + -14x) Combine like terms: -8 + -6 = -14 26 + -18x = -14 + -14x Solving 26 + -18x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 26 + -18x + 14x = -14 + -14x + 14x Combine like terms: -18x + 14x = -4x 26 + -4x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 26 + -4x = -14 + 0 26 + -4x = -14 Add '-26' to each side of the equation. 26 + -26 + -4x = -14 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = -14 + -26 -4x = -14 + -26 Combine like terms: -14 + -26 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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