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Simplifying 5(x + -6) + 8 = 2(x + -5) Reorder the terms: 5(-6 + x) + 8 = 2(x + -5) (-6 * 5 + x * 5) + 8 = 2(x + -5) (-30 + 5x) + 8 = 2(x + -5) Reorder the terms: -30 + 8 + 5x = 2(x + -5) Combine like terms: -30 + 8 = -22 -22 + 5x = 2(x + -5) Reorder the terms: -22 + 5x = 2(-5 + x) -22 + 5x = (-5 * 2 + x * 2) -22 + 5x = (-10 + 2x) Solving -22 + 5x = -10 + 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. -22 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = -10 + 0 -22 + 3x = -10 Add '22' to each side of the equation. -22 + 22 + 3x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -10 + 22 3x = -10 + 22 Combine like terms: -10 + 22 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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