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Simplifying 5(2x + 6) = 4x + -9 + 3x Reorder the terms: 5(6 + 2x) = 4x + -9 + 3x (6 * 5 + 2x * 5) = 4x + -9 + 3x (30 + 10x) = 4x + -9 + 3x Reorder the terms: 30 + 10x = -9 + 4x + 3x Combine like terms: 4x + 3x = 7x 30 + 10x = -9 + 7x Solving 30 + 10x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + 10x + -7x = -9 + 7x + -7x Combine like terms: 10x + -7x = 3x 30 + 3x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 3x = -9 + 0 30 + 3x = -9 Add '-30' to each side of the equation. 30 + -30 + 3x = -9 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = -9 + -30 3x = -9 + -30 Combine like terms: -9 + -30 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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