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Simplifying -6(-4x + 7) + -3x = 3(x + -6) + -8 Reorder the terms: -6(7 + -4x) + -3x = 3(x + -6) + -8 (7 * -6 + -4x * -6) + -3x = 3(x + -6) + -8 (-42 + 24x) + -3x = 3(x + -6) + -8 Combine like terms: 24x + -3x = 21x -42 + 21x = 3(x + -6) + -8 Reorder the terms: -42 + 21x = 3(-6 + x) + -8 -42 + 21x = (-6 * 3 + x * 3) + -8 -42 + 21x = (-18 + 3x) + -8 Reorder the terms: -42 + 21x = -18 + -8 + 3x Combine like terms: -18 + -8 = -26 -42 + 21x = -26 + 3x Solving -42 + 21x = -26 + 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. -42 + 21x + -3x = -26 + 3x + -3x Combine like terms: 21x + -3x = 18x -42 + 18x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 18x = -26 + 0 -42 + 18x = -26 Add '42' to each side of the equation. -42 + 42 + 18x = -26 + 42 Combine like terms: -42 + 42 = 0 0 + 18x = -26 + 42 18x = -26 + 42 Combine like terms: -26 + 42 = 16 18x = 16 Divide each side by '18'. x = 0.8888888889 Simplifying x = 0.8888888889
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