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Simplifying 5x + 3(2x + 4) = 7x + -9 Reorder the terms: 5x + 3(4 + 2x) = 7x + -9 5x + (4 * 3 + 2x * 3) = 7x + -9 5x + (12 + 6x) = 7x + -9 Reorder the terms: 12 + 5x + 6x = 7x + -9 Combine like terms: 5x + 6x = 11x 12 + 11x = 7x + -9 Reorder the terms: 12 + 11x = -9 + 7x Solving 12 + 11x = -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. 12 + 11x + -7x = -9 + 7x + -7x Combine like terms: 11x + -7x = 4x 12 + 4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 4x = -9 + 0 12 + 4x = -9 Add '-12' to each side of the equation. 12 + -12 + 4x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -9 + -12 4x = -9 + -12 Combine like terms: -9 + -12 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25
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