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Simplifying -3(-5x + -4) = 6(x + -1) Reorder the terms: -3(-4 + -5x) = 6(x + -1) (-4 * -3 + -5x * -3) = 6(x + -1) (12 + 15x) = 6(x + -1) Reorder the terms: 12 + 15x = 6(-1 + x) 12 + 15x = (-1 * 6 + x * 6) 12 + 15x = (-6 + 6x) Solving 12 + 15x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 12 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 9x = -6 + 0 12 + 9x = -6 Add '-12' to each side of the equation. 12 + -12 + 9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -6 + -12 9x = -6 + -12 Combine like terms: -6 + -12 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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