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Simplifying 3x + -2 = -4(x + -5) + 13 Reorder the terms: -2 + 3x = -4(x + -5) + 13 Reorder the terms: -2 + 3x = -4(-5 + x) + 13 -2 + 3x = (-5 * -4 + x * -4) + 13 -2 + 3x = (20 + -4x) + 13 Reorder the terms: -2 + 3x = 20 + 13 + -4x Combine like terms: 20 + 13 = 33 -2 + 3x = 33 + -4x Solving -2 + 3x = 33 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 3x + 4x = 33 + -4x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = 33 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 7x = 33 + 0 -2 + 7x = 33 Add '2' to each side of the equation. -2 + 2 + 7x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 33 + 2 7x = 33 + 2 Combine like terms: 33 + 2 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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