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Simplifying 4(3x + -4) + 10 = 2x + 8 + 3x Reorder the terms: 4(-4 + 3x) + 10 = 2x + 8 + 3x (-4 * 4 + 3x * 4) + 10 = 2x + 8 + 3x (-16 + 12x) + 10 = 2x + 8 + 3x Reorder the terms: -16 + 10 + 12x = 2x + 8 + 3x Combine like terms: -16 + 10 = -6 -6 + 12x = 2x + 8 + 3x Reorder the terms: -6 + 12x = 8 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + 12x = 8 + 5x Solving -6 + 12x = 8 + 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. -6 + 12x + -5x = 8 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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