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Simplifying 4(3x + 4) + -3x = 5x + -12 Reorder the terms: 4(4 + 3x) + -3x = 5x + -12 (4 * 4 + 3x * 4) + -3x = 5x + -12 (16 + 12x) + -3x = 5x + -12 Combine like terms: 12x + -3x = 9x 16 + 9x = 5x + -12 Reorder the terms: 16 + 9x = -12 + 5x Solving 16 + 9x = -12 + 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. 16 + 9x + -5x = -12 + 5x + -5x Combine like terms: 9x + -5x = 4x 16 + 4x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 4x = -12 + 0 16 + 4x = -12 Add '-16' to each side of the equation. 16 + -16 + 4x = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -12 + -16 4x = -12 + -16 Combine like terms: -12 + -16 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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