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Simplifying 8 + 2(x + -7) + -1 = 13 + -3(x + 5) Reorder the terms: 8 + 2(-7 + x) + -1 = 13 + -3(x + 5) 8 + (-7 * 2 + x * 2) + -1 = 13 + -3(x + 5) 8 + (-14 + 2x) + -1 = 13 + -3(x + 5) Reorder the terms: 8 + -14 + -1 + 2x = 13 + -3(x + 5) Combine like terms: 8 + -14 = -6 -6 + -1 + 2x = 13 + -3(x + 5) Combine like terms: -6 + -1 = -7 -7 + 2x = 13 + -3(x + 5) Reorder the terms: -7 + 2x = 13 + -3(5 + x) -7 + 2x = 13 + (5 * -3 + x * -3) -7 + 2x = 13 + (-15 + -3x) Combine like terms: 13 + -15 = -2 -7 + 2x = -2 + -3x Solving -7 + 2x = -2 + -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. -7 + 2x + 3x = -2 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = -2 + 0 -7 + 5x = -2 Add '7' to each side of the equation. -7 + 7 + 5x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -2 + 7 5x = -2 + 7 Combine like terms: -2 + 7 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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