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Simplifying 4(3x + -1) + 13 = 5x + 2 Reorder the terms: 4(-1 + 3x) + 13 = 5x + 2 (-1 * 4 + 3x * 4) + 13 = 5x + 2 (-4 + 12x) + 13 = 5x + 2 Reorder the terms: -4 + 13 + 12x = 5x + 2 Combine like terms: -4 + 13 = 9 9 + 12x = 5x + 2 Reorder the terms: 9 + 12x = 2 + 5x Solving 9 + 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. 9 + 12x + -5x = 2 + 5x + -5x Combine like terms: 12x + -5x = 7x 9 + 7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 7x = 2 + 0 9 + 7x = 2 Add '-9' to each side of the equation. 9 + -9 + 7x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 2 + -9 7x = 2 + -9 Combine like terms: 2 + -9 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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