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Simplifying 5(x + -13) + 15 = 3x + -28 Reorder the terms: 5(-13 + x) + 15 = 3x + -28 (-13 * 5 + x * 5) + 15 = 3x + -28 (-65 + 5x) + 15 = 3x + -28 Reorder the terms: -65 + 15 + 5x = 3x + -28 Combine like terms: -65 + 15 = -50 -50 + 5x = 3x + -28 Reorder the terms: -50 + 5x = -28 + 3x Solving -50 + 5x = -28 + 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. -50 + 5x + -3x = -28 + 3x + -3x Combine like terms: 5x + -3x = 2x -50 + 2x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 -50 + 2x = -28 + 0 -50 + 2x = -28 Add '50' to each side of the equation. -50 + 50 + 2x = -28 + 50 Combine like terms: -50 + 50 = 0 0 + 2x = -28 + 50 2x = -28 + 50 Combine like terms: -28 + 50 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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