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Simplifying 5x + -3(5 + -1x) = x + 13 5x + (5 * -3 + -1x * -3) = x + 13 5x + (-15 + 3x) = x + 13 Reorder the terms: -15 + 5x + 3x = x + 13 Combine like terms: 5x + 3x = 8x -15 + 8x = x + 13 Reorder the terms: -15 + 8x = 13 + x Solving -15 + 8x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 8x + -1x = 13 + x + -1x Combine like terms: 8x + -1x = 7x -15 + 7x = 13 + x + -1x Combine like terms: x + -1x = 0 -15 + 7x = 13 + 0 -15 + 7x = 13 Add '15' to each side of the equation. -15 + 15 + 7x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 13 + 15 7x = 13 + 15 Combine like terms: 13 + 15 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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