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Simplifying 6(x + 2) + -4(x + -3) = 30 Reorder the terms: 6(2 + x) + -4(x + -3) = 30 (2 * 6 + x * 6) + -4(x + -3) = 30 (12 + 6x) + -4(x + -3) = 30 Reorder the terms: 12 + 6x + -4(-3 + x) = 30 12 + 6x + (-3 * -4 + x * -4) = 30 12 + 6x + (12 + -4x) = 30 Reorder the terms: 12 + 12 + 6x + -4x = 30 Combine like terms: 12 + 12 = 24 24 + 6x + -4x = 30 Combine like terms: 6x + -4x = 2x 24 + 2x = 30 Solving 24 + 2x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 30 + -24 2x = 30 + -24 Combine like terms: 30 + -24 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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