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Simplifying 3x + -11 = 2(x + -2) + -5 Reorder the terms: -11 + 3x = 2(x + -2) + -5 Reorder the terms: -11 + 3x = 2(-2 + x) + -5 -11 + 3x = (-2 * 2 + x * 2) + -5 -11 + 3x = (-4 + 2x) + -5 Reorder the terms: -11 + 3x = -4 + -5 + 2x Combine like terms: -4 + -5 = -9 -11 + 3x = -9 + 2x Solving -11 + 3x = -9 + 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. -11 + 3x + -2x = -9 + 2x + -2x Combine like terms: 3x + -2x = 1x -11 + 1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 1x = -9 + 0 -11 + 1x = -9 Add '11' to each side of the equation. -11 + 11 + 1x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -9 + 11 1x = -9 + 11 Combine like terms: -9 + 11 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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