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