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Simplifying -4x + -5(6 + -3x) = 6(x + -4) + -6 -4x + (6 * -5 + -3x * -5) = 6(x + -4) + -6 -4x + (-30 + 15x) = 6(x + -4) + -6 Reorder the terms: -30 + -4x + 15x = 6(x + -4) + -6 Combine like terms: -4x + 15x = 11x -30 + 11x = 6(x + -4) + -6 Reorder the terms: -30 + 11x = 6(-4 + x) + -6 -30 + 11x = (-4 * 6 + x * 6) + -6 -30 + 11x = (-24 + 6x) + -6 Reorder the terms: -30 + 11x = -24 + -6 + 6x Combine like terms: -24 + -6 = -30 -30 + 11x = -30 + 6x Add '30' to each side of the equation. -30 + 30 + 11x = -30 + 30 + 6x Combine like terms: -30 + 30 = 0 0 + 11x = -30 + 30 + 6x 11x = -30 + 30 + 6x Combine like terms: -30 + 30 = 0 11x = 0 + 6x 11x = 6x Solving 11x = 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. 11x + -6x = 6x + -6x Combine like terms: 11x + -6x = 5x 5x = 6x + -6x Combine like terms: 6x + -6x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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