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Simplifying 5(x + 3(x + -7)) + 8 = 23 Reorder the terms: 5(x + 3(-7 + x)) + 8 = 23 5(x + (-7 * 3 + x * 3)) + 8 = 23 5(x + (-21 + 3x)) + 8 = 23 Reorder the terms: 5(-21 + x + 3x) + 8 = 23 Combine like terms: x + 3x = 4x 5(-21 + 4x) + 8 = 23 (-21 * 5 + 4x * 5) + 8 = 23 (-105 + 20x) + 8 = 23 Reorder the terms: -105 + 8 + 20x = 23 Combine like terms: -105 + 8 = -97 -97 + 20x = 23 Solving -97 + 20x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + 20x = 23 + 97 Combine like terms: -97 + 97 = 0 0 + 20x = 23 + 97 20x = 23 + 97 Combine like terms: 23 + 97 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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