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Simplifying 3(x + -2) + 5(x + -1) = 2x + -2(x + 3) + 11 Reorder the terms: 3(-2 + x) + 5(x + -1) = 2x + -2(x + 3) + 11 (-2 * 3 + x * 3) + 5(x + -1) = 2x + -2(x + 3) + 11 (-6 + 3x) + 5(x + -1) = 2x + -2(x + 3) + 11 Reorder the terms: -6 + 3x + 5(-1 + x) = 2x + -2(x + 3) + 11 -6 + 3x + (-1 * 5 + x * 5) = 2x + -2(x + 3) + 11 -6 + 3x + (-5 + 5x) = 2x + -2(x + 3) + 11 Reorder the terms: -6 + -5 + 3x + 5x = 2x + -2(x + 3) + 11 Combine like terms: -6 + -5 = -11 -11 + 3x + 5x = 2x + -2(x + 3) + 11 Combine like terms: 3x + 5x = 8x -11 + 8x = 2x + -2(x + 3) + 11 Reorder the terms: -11 + 8x = 2x + -2(3 + x) + 11 -11 + 8x = 2x + (3 * -2 + x * -2) + 11 -11 + 8x = 2x + (-6 + -2x) + 11 Reorder the terms: -11 + 8x = -6 + 11 + 2x + -2x Combine like terms: -6 + 11 = 5 -11 + 8x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 8x = 5 + 0 -11 + 8x = 5 Solving -11 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 5 + 11 8x = 5 + 11 Combine like terms: 5 + 11 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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