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Simplifying 6(3 + -2x) + -1(1 + -1x) = 4(x + -3) (3 * 6 + -2x * 6) + -1(1 + -1x) = 4(x + -3) (18 + -12x) + -1(1 + -1x) = 4(x + -3) 18 + -12x + (1 * -1 + -1x * -1) = 4(x + -3) 18 + -12x + (-1 + 1x) = 4(x + -3) Reorder the terms: 18 + -1 + -12x + 1x = 4(x + -3) Combine like terms: 18 + -1 = 17 17 + -12x + 1x = 4(x + -3) Combine like terms: -12x + 1x = -11x 17 + -11x = 4(x + -3) Reorder the terms: 17 + -11x = 4(-3 + x) 17 + -11x = (-3 * 4 + x * 4) 17 + -11x = (-12 + 4x) Solving 17 + -11x = -12 + 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. 17 + -11x + -4x = -12 + 4x + -4x Combine like terms: -11x + -4x = -15x 17 + -15x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + -15x = -12 + 0 17 + -15x = -12 Add '-17' to each side of the equation. 17 + -17 + -15x = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -15x = -12 + -17 -15x = -12 + -17 Combine like terms: -12 + -17 = -29 -15x = -29 Divide each side by '-15'. x = 1.933333333 Simplifying x = 1.933333333
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