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Simplifying 4(3x + -4) + -10 = 5x + 2 Reorder the terms: 4(-4 + 3x) + -10 = 5x + 2 (-4 * 4 + 3x * 4) + -10 = 5x + 2 (-16 + 12x) + -10 = 5x + 2 Reorder the terms: -16 + -10 + 12x = 5x + 2 Combine like terms: -16 + -10 = -26 -26 + 12x = 5x + 2 Reorder the terms: -26 + 12x = 2 + 5x Solving -26 + 12x = 2 + 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. -26 + 12x + -5x = 2 + 5x + -5x Combine like terms: 12x + -5x = 7x -26 + 7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -26 + 7x = 2 + 0 -26 + 7x = 2 Add '26' to each side of the equation. -26 + 26 + 7x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 2 + 26 7x = 2 + 26 Combine like terms: 2 + 26 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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