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Simplifying 4(3x + -6) + 3x = 5x + -4 Reorder the terms: 4(-6 + 3x) + 3x = 5x + -4 (-6 * 4 + 3x * 4) + 3x = 5x + -4 (-24 + 12x) + 3x = 5x + -4 Combine like terms: 12x + 3x = 15x -24 + 15x = 5x + -4 Reorder the terms: -24 + 15x = -4 + 5x Solving -24 + 15x = -4 + 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. -24 + 15x + -5x = -4 + 5x + -5x Combine like terms: 15x + -5x = 10x -24 + 10x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 10x = -4 + 0 -24 + 10x = -4 Add '24' to each side of the equation. -24 + 24 + 10x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -4 + 24 10x = -4 + 24 Combine like terms: -4 + 24 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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