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Simplifying -6 + 6(3x + -6) = -5(-1x + 7) + -2 Reorder the terms: -6 + 6(-6 + 3x) = -5(-1x + 7) + -2 -6 + (-6 * 6 + 3x * 6) = -5(-1x + 7) + -2 -6 + (-36 + 18x) = -5(-1x + 7) + -2 Combine like terms: -6 + -36 = -42 -42 + 18x = -5(-1x + 7) + -2 Reorder the terms: -42 + 18x = -5(7 + -1x) + -2 -42 + 18x = (7 * -5 + -1x * -5) + -2 -42 + 18x = (-35 + 5x) + -2 Reorder the terms: -42 + 18x = -35 + -2 + 5x Combine like terms: -35 + -2 = -37 -42 + 18x = -37 + 5x Solving -42 + 18x = -37 + 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. -42 + 18x + -5x = -37 + 5x + -5x Combine like terms: 18x + -5x = 13x -42 + 13x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 13x = -37 + 0 -42 + 13x = -37 Add '42' to each side of the equation. -42 + 42 + 13x = -37 + 42 Combine like terms: -42 + 42 = 0 0 + 13x = -37 + 42 13x = -37 + 42 Combine like terms: -37 + 42 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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