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Simplifying 4(x + 3) + -9x = 3x + 12 Reorder the terms: 4(3 + x) + -9x = 3x + 12 (3 * 4 + x * 4) + -9x = 3x + 12 (12 + 4x) + -9x = 3x + 12 Combine like terms: 4x + -9x = -5x 12 + -5x = 3x + 12 Reorder the terms: 12 + -5x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + -5x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + -5x = 12 + -12 + 3x -5x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 -5x = 0 + 3x -5x = 3x Solving -5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5x + -3x = 3x + -3x Combine like terms: -5x + -3x = -8x -8x = 3x + -3x Combine like terms: 3x + -3x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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