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Simplifying 6(3x + -1) + -6 = -4x + 3(3x + -8) Reorder the terms: 6(-1 + 3x) + -6 = -4x + 3(3x + -8) (-1 * 6 + 3x * 6) + -6 = -4x + 3(3x + -8) (-6 + 18x) + -6 = -4x + 3(3x + -8) Reorder the terms: -6 + -6 + 18x = -4x + 3(3x + -8) Combine like terms: -6 + -6 = -12 -12 + 18x = -4x + 3(3x + -8) Reorder the terms: -12 + 18x = -4x + 3(-8 + 3x) -12 + 18x = -4x + (-8 * 3 + 3x * 3) -12 + 18x = -4x + (-24 + 9x) Reorder the terms: -12 + 18x = -24 + -4x + 9x Combine like terms: -4x + 9x = 5x -12 + 18x = -24 + 5x Solving -12 + 18x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 18x + -5x = -24 + 5x + -5x Combine like terms: 18x + -5x = 13x -12 + 13x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 13x = -24 + 0 -12 + 13x = -24 Add '12' to each side of the equation. -12 + 12 + 13x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = -24 + 12 13x = -24 + 12 Combine like terms: -24 + 12 = -12 13x = -12 Divide each side by '13'. x = -0.9230769231 Simplifying x = -0.9230769231
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