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Simplifying 6x + -3(6 + -5x) = 10 + -4(2 + -1x) 6x + (6 * -3 + -5x * -3) = 10 + -4(2 + -1x) 6x + (-18 + 15x) = 10 + -4(2 + -1x) Reorder the terms: -18 + 6x + 15x = 10 + -4(2 + -1x) Combine like terms: 6x + 15x = 21x -18 + 21x = 10 + -4(2 + -1x) -18 + 21x = 10 + (2 * -4 + -1x * -4) -18 + 21x = 10 + (-8 + 4x) Combine like terms: 10 + -8 = 2 -18 + 21x = 2 + 4x Solving -18 + 21x = 2 + 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 = 2 + 4x + -4x Combine like terms: 21x + -4x = 17x -18 + 17x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 17x = 2 + 0 -18 + 17x = 2 Add '18' to each side of the equation. -18 + 18 + 17x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = 2 + 18 17x = 2 + 18 Combine like terms: 2 + 18 = 20 17x = 20 Divide each side by '17'. x = 1.176470588 Simplifying x = 1.176470588
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