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Simplifying -5 + 3(6x + -6) = 6 + -6(3x + -2) Reorder the terms: -5 + 3(-6 + 6x) = 6 + -6(3x + -2) -5 + (-6 * 3 + 6x * 3) = 6 + -6(3x + -2) -5 + (-18 + 18x) = 6 + -6(3x + -2) Combine like terms: -5 + -18 = -23 -23 + 18x = 6 + -6(3x + -2) Reorder the terms: -23 + 18x = 6 + -6(-2 + 3x) -23 + 18x = 6 + (-2 * -6 + 3x * -6) -23 + 18x = 6 + (12 + -18x) Combine like terms: 6 + 12 = 18 -23 + 18x = 18 + -18x Solving -23 + 18x = 18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -23 + 18x + 18x = 18 + -18x + 18x Combine like terms: 18x + 18x = 36x -23 + 36x = 18 + -18x + 18x Combine like terms: -18x + 18x = 0 -23 + 36x = 18 + 0 -23 + 36x = 18 Add '23' to each side of the equation. -23 + 23 + 36x = 18 + 23 Combine like terms: -23 + 23 = 0 0 + 36x = 18 + 23 36x = 18 + 23 Combine like terms: 18 + 23 = 41 36x = 41 Divide each side by '36'. x = 1.138888889 Simplifying x = 1.138888889
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