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Simplifying -3(9x + -1) = -6(4x + 2) Reorder the terms: -3(-1 + 9x) = -6(4x + 2) (-1 * -3 + 9x * -3) = -6(4x + 2) (3 + -27x) = -6(4x + 2) Reorder the terms: 3 + -27x = -6(2 + 4x) 3 + -27x = (2 * -6 + 4x * -6) 3 + -27x = (-12 + -24x) Solving 3 + -27x = -12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3 + -27x + 24x = -12 + -24x + 24x Combine like terms: -27x + 24x = -3x 3 + -3x = -12 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + -3x = -12 + 0 3 + -3x = -12 Add '-3' to each side of the equation. 3 + -3 + -3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -12 + -3 -3x = -12 + -3 Combine like terms: -12 + -3 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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