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Simplifying 6x + -3(6 + -5x) = -4(2 + -1x) 6x + (6 * -3 + -5x * -3) = -4(2 + -1x) 6x + (-18 + 15x) = -4(2 + -1x) Reorder the terms: -18 + 6x + 15x = -4(2 + -1x) Combine like terms: 6x + 15x = 21x -18 + 21x = -4(2 + -1x) -18 + 21x = (2 * -4 + -1x * -4) -18 + 21x = (-8 + 4x) Solving -18 + 21x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 21x + -4x = -8 + 4x + -4x Combine like terms: 21x + -4x = 17x -18 + 17x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 17x = -8 + 0 -18 + 17x = -8 Add '18' to each side of the equation. -18 + 18 + 17x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = -8 + 18 17x = -8 + 18 Combine like terms: -8 + 18 = 10 17x = 10 Divide each side by '17'. x = 0.5882352941 Simplifying x = 0.5882352941
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