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Simplifying 5(3x + -3) = 6(3x + 5) Reorder the terms: 5(-3 + 3x) = 6(3x + 5) (-3 * 5 + 3x * 5) = 6(3x + 5) (-15 + 15x) = 6(3x + 5) Reorder the terms: -15 + 15x = 6(5 + 3x) -15 + 15x = (5 * 6 + 3x * 6) -15 + 15x = (30 + 18x) Solving -15 + 15x = 30 + 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. -15 + 15x + -18x = 30 + 18x + -18x Combine like terms: 15x + -18x = -3x -15 + -3x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + -3x = 30 + 0 -15 + -3x = 30 Add '15' to each side of the equation. -15 + 15 + -3x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 30 + 15 -3x = 30 + 15 Combine like terms: 30 + 15 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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