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Simplifying 8(x + -3) + -5(x + 2) = 2 Reorder the terms: 8(-3 + x) + -5(x + 2) = 2 (-3 * 8 + x * 8) + -5(x + 2) = 2 (-24 + 8x) + -5(x + 2) = 2 Reorder the terms: -24 + 8x + -5(2 + x) = 2 -24 + 8x + (2 * -5 + x * -5) = 2 -24 + 8x + (-10 + -5x) = 2 Reorder the terms: -24 + -10 + 8x + -5x = 2 Combine like terms: -24 + -10 = -34 -34 + 8x + -5x = 2 Combine like terms: 8x + -5x = 3x -34 + 3x = 2 Solving -34 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 3x = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 3x = 2 + 34 3x = 2 + 34 Combine like terms: 2 + 34 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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