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Simplifying 3x + -5 = 11 + -2(x + -6) Reorder the terms: -5 + 3x = 11 + -2(x + -6) Reorder the terms: -5 + 3x = 11 + -2(-6 + x) -5 + 3x = 11 + (-6 * -2 + x * -2) -5 + 3x = 11 + (12 + -2x) Combine like terms: 11 + 12 = 23 -5 + 3x = 23 + -2x Solving -5 + 3x = 23 + -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. -5 + 3x + 2x = 23 + -2x + 2x Combine like terms: 3x + 2x = 5x -5 + 5x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 5x = 23 + 0 -5 + 5x = 23 Add '5' to each side of the equation. -5 + 5 + 5x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 23 + 5 5x = 23 + 5 Combine like terms: 23 + 5 = 28 5x = 28 Divide each side by '5'. x = 5.6 Simplifying x = 5.6
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