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Simplifying 3(x + -2) + 5(x + 1) = 2x + 11 Reorder the terms: 3(-2 + x) + 5(x + 1) = 2x + 11 (-2 * 3 + x * 3) + 5(x + 1) = 2x + 11 (-6 + 3x) + 5(x + 1) = 2x + 11 Reorder the terms: -6 + 3x + 5(1 + x) = 2x + 11 -6 + 3x + (1 * 5 + x * 5) = 2x + 11 -6 + 3x + (5 + 5x) = 2x + 11 Reorder the terms: -6 + 5 + 3x + 5x = 2x + 11 Combine like terms: -6 + 5 = -1 -1 + 3x + 5x = 2x + 11 Combine like terms: 3x + 5x = 8x -1 + 8x = 2x + 11 Reorder the terms: -1 + 8x = 11 + 2x Solving -1 + 8x = 11 + 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. -1 + 8x + -2x = 11 + 2x + -2x Combine like terms: 8x + -2x = 6x -1 + 6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 6x = 11 + 0 -1 + 6x = 11 Add '1' to each side of the equation. -1 + 1 + 6x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 11 + 1 6x = 11 + 1 Combine like terms: 11 + 1 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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