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Simplifying 5(4x + -2) = -3x + 13 Reorder the terms: 5(-2 + 4x) = -3x + 13 (-2 * 5 + 4x * 5) = -3x + 13 (-10 + 20x) = -3x + 13 Reorder the terms: -10 + 20x = 13 + -3x Solving -10 + 20x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 20x + 3x = 13 + -3x + 3x Combine like terms: 20x + 3x = 23x -10 + 23x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 23x = 13 + 0 -10 + 23x = 13 Add '10' to each side of the equation. -10 + 10 + 23x = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 23x = 13 + 10 23x = 13 + 10 Combine like terms: 13 + 10 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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