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