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Simplifying 6 + -3(4 + -1x) = 10 + -4(2x + -5) 6 + (4 * -3 + -1x * -3) = 10 + -4(2x + -5) 6 + (-12 + 3x) = 10 + -4(2x + -5) Combine like terms: 6 + -12 = -6 -6 + 3x = 10 + -4(2x + -5) Reorder the terms: -6 + 3x = 10 + -4(-5 + 2x) -6 + 3x = 10 + (-5 * -4 + 2x * -4) -6 + 3x = 10 + (20 + -8x) Combine like terms: 10 + 20 = 30 -6 + 3x = 30 + -8x Solving -6 + 3x = 30 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 3x + 8x = 30 + -8x + 8x Combine like terms: 3x + 8x = 11x -6 + 11x = 30 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 11x = 30 + 0 -6 + 11x = 30 Add '6' to each side of the equation. -6 + 6 + 11x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 30 + 6 11x = 30 + 6 Combine like terms: 30 + 6 = 36 11x = 36 Divide each side by '11'. x = 3.272727273 Simplifying x = 3.272727273
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