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Simplifying 5(x + -6) + -2 = 3x + -5 Reorder the terms: 5(-6 + x) + -2 = 3x + -5 (-6 * 5 + x * 5) + -2 = 3x + -5 (-30 + 5x) + -2 = 3x + -5 Reorder the terms: -30 + -2 + 5x = 3x + -5 Combine like terms: -30 + -2 = -32 -32 + 5x = 3x + -5 Reorder the terms: -32 + 5x = -5 + 3x Solving -32 + 5x = -5 + 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. -32 + 5x + -3x = -5 + 3x + -3x Combine like terms: 5x + -3x = 2x -32 + 2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 2x = -5 + 0 -32 + 2x = -5 Add '32' to each side of the equation. -32 + 32 + 2x = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -5 + 32 2x = -5 + 32 Combine like terms: -5 + 32 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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