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Simplifying 6(5x + -6) = 3(5x + -2) Reorder the terms: 6(-6 + 5x) = 3(5x + -2) (-6 * 6 + 5x * 6) = 3(5x + -2) (-36 + 30x) = 3(5x + -2) Reorder the terms: -36 + 30x = 3(-2 + 5x) -36 + 30x = (-2 * 3 + 5x * 3) -36 + 30x = (-6 + 15x) Solving -36 + 30x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -36 + 30x + -15x = -6 + 15x + -15x Combine like terms: 30x + -15x = 15x -36 + 15x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 -36 + 15x = -6 + 0 -36 + 15x = -6 Add '36' to each side of the equation. -36 + 36 + 15x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = -6 + 36 15x = -6 + 36 Combine like terms: -6 + 36 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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