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Simplifying 6 + -1(3x + 10) + 4(2 + -4) = 15 Reorder the terms: 6 + -1(10 + 3x) + 4(2 + -4) = 15 6 + (10 * -1 + 3x * -1) + 4(2 + -4) = 15 6 + (-10 + -3x) + 4(2 + -4) = 15 Combine like terms: 2 + -4 = -2 6 + -10 + -3x + 4(-2) = 15 Multiply 4 * -2 6 + -10 + -3x + -8 = 15 Reorder the terms: 6 + -10 + -8 + -3x = 15 Combine like terms: 6 + -10 = -4 -4 + -8 + -3x = 15 Combine like terms: -4 + -8 = -12 -12 + -3x = 15 Solving -12 + -3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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