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Simplifying 6 + -7(2 + -3x) = 10 + -2(x + -3) 6 + (2 * -7 + -3x * -7) = 10 + -2(x + -3) 6 + (-14 + 21x) = 10 + -2(x + -3) Combine like terms: 6 + -14 = -8 -8 + 21x = 10 + -2(x + -3) Reorder the terms: -8 + 21x = 10 + -2(-3 + x) -8 + 21x = 10 + (-3 * -2 + x * -2) -8 + 21x = 10 + (6 + -2x) Combine like terms: 10 + 6 = 16 -8 + 21x = 16 + -2x Solving -8 + 21x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 21x + 2x = 16 + -2x + 2x Combine like terms: 21x + 2x = 23x -8 + 23x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 23x = 16 + 0 -8 + 23x = 16 Add '8' to each side of the equation. -8 + 8 + 23x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 23x = 16 + 8 23x = 16 + 8 Combine like terms: 16 + 8 = 24 23x = 24 Divide each side by '23'. x = 1.043478261 Simplifying x = 1.043478261
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