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Simplifying 5(x + -6) + -2 = 2x + 5 Reorder the terms: 5(-6 + x) + -2 = 2x + 5 (-6 * 5 + x * 5) + -2 = 2x + 5 (-30 + 5x) + -2 = 2x + 5 Reorder the terms: -30 + -2 + 5x = 2x + 5 Combine like terms: -30 + -2 = -32 -32 + 5x = 2x + 5 Reorder the terms: -32 + 5x = 5 + 2x Solving -32 + 5x = 5 + 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. -32 + 5x + -2x = 5 + 2x + -2x Combine like terms: 5x + -2x = 3x -32 + 3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 3x = 5 + 0 -32 + 3x = 5 Add '32' to each side of the equation. -32 + 32 + 3x = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 5 + 32 3x = 5 + 32 Combine like terms: 5 + 32 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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