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Simplifying 3(2x + 1) + -4x = 5x + -9 Reorder the terms: 3(1 + 2x) + -4x = 5x + -9 (1 * 3 + 2x * 3) + -4x = 5x + -9 (3 + 6x) + -4x = 5x + -9 Combine like terms: 6x + -4x = 2x 3 + 2x = 5x + -9 Reorder the terms: 3 + 2x = -9 + 5x Solving 3 + 2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = -9 + 0 3 + -3x = -9 Add '-3' to each side of the equation. 3 + -3 + -3x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -9 + -3 -3x = -9 + -3 Combine like terms: -9 + -3 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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