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Simplifying 6(3x + -3) = 5(x + 4) Reorder the terms: 6(-3 + 3x) = 5(x + 4) (-3 * 6 + 3x * 6) = 5(x + 4) (-18 + 18x) = 5(x + 4) Reorder the terms: -18 + 18x = 5(4 + x) -18 + 18x = (4 * 5 + x * 5) -18 + 18x = (20 + 5x) Solving -18 + 18x = 20 + 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. -18 + 18x + -5x = 20 + 5x + -5x Combine like terms: 18x + -5x = 13x -18 + 13x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 13x = 20 + 0 -18 + 13x = 20 Add '18' to each side of the equation. -18 + 18 + 13x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 13x = 20 + 18 13x = 20 + 18 Combine like terms: 20 + 18 = 38 13x = 38 Divide each side by '13'. x = 2.923076923 Simplifying x = 2.923076923
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