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Simplifying 5(2x + -3) + -1(4x + 2) = 13 Reorder the terms: 5(-3 + 2x) + -1(4x + 2) = 13 (-3 * 5 + 2x * 5) + -1(4x + 2) = 13 (-15 + 10x) + -1(4x + 2) = 13 Reorder the terms: -15 + 10x + -1(2 + 4x) = 13 -15 + 10x + (2 * -1 + 4x * -1) = 13 -15 + 10x + (-2 + -4x) = 13 Reorder the terms: -15 + -2 + 10x + -4x = 13 Combine like terms: -15 + -2 = -17 -17 + 10x + -4x = 13 Combine like terms: 10x + -4x = 6x -17 + 6x = 13 Solving -17 + 6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 13 + 17 6x = 13 + 17 Combine like terms: 13 + 17 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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