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Simplifying 5(x + -6) + 13 = 2(x + -7) Reorder the terms: 5(-6 + x) + 13 = 2(x + -7) (-6 * 5 + x * 5) + 13 = 2(x + -7) (-30 + 5x) + 13 = 2(x + -7) Reorder the terms: -30 + 13 + 5x = 2(x + -7) Combine like terms: -30 + 13 = -17 -17 + 5x = 2(x + -7) Reorder the terms: -17 + 5x = 2(-7 + x) -17 + 5x = (-7 * 2 + x * 2) -17 + 5x = (-14 + 2x) Solving -17 + 5x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = -14 + 0 -17 + 3x = -14 Add '17' to each side of the equation. -17 + 17 + 3x = -14 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = -14 + 17 3x = -14 + 17 Combine like terms: -14 + 17 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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