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Simplifying -5(3x + -6) + -1(1 + 6x) = -34 Reorder the terms: -5(-6 + 3x) + -1(1 + 6x) = -34 (-6 * -5 + 3x * -5) + -1(1 + 6x) = -34 (30 + -15x) + -1(1 + 6x) = -34 30 + -15x + (1 * -1 + 6x * -1) = -34 30 + -15x + (-1 + -6x) = -34 Reorder the terms: 30 + -1 + -15x + -6x = -34 Combine like terms: 30 + -1 = 29 29 + -15x + -6x = -34 Combine like terms: -15x + -6x = -21x 29 + -21x = -34 Solving 29 + -21x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -21x = -34 + -29 Combine like terms: 29 + -29 = 0 0 + -21x = -34 + -29 -21x = -34 + -29 Combine like terms: -34 + -29 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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