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Simplifying 4(3x + -2) = 5x + 13 Reorder the terms: 4(-2 + 3x) = 5x + 13 (-2 * 4 + 3x * 4) = 5x + 13 (-8 + 12x) = 5x + 13 Reorder the terms: -8 + 12x = 13 + 5x Solving -8 + 12x = 13 + 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. -8 + 12x + -5x = 13 + 5x + -5x Combine like terms: 12x + -5x = 7x -8 + 7x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 7x = 13 + 0 -8 + 7x = 13 Add '8' to each side of the equation. -8 + 8 + 7x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 13 + 8 7x = 13 + 8 Combine like terms: 13 + 8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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