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Simplifying -11(x + 2) + 5(3x + -5) = 3(x + -3) + 8 Reorder the terms: -11(2 + x) + 5(3x + -5) = 3(x + -3) + 8 (2 * -11 + x * -11) + 5(3x + -5) = 3(x + -3) + 8 (-22 + -11x) + 5(3x + -5) = 3(x + -3) + 8 Reorder the terms: -22 + -11x + 5(-5 + 3x) = 3(x + -3) + 8 -22 + -11x + (-5 * 5 + 3x * 5) = 3(x + -3) + 8 -22 + -11x + (-25 + 15x) = 3(x + -3) + 8 Reorder the terms: -22 + -25 + -11x + 15x = 3(x + -3) + 8 Combine like terms: -22 + -25 = -47 -47 + -11x + 15x = 3(x + -3) + 8 Combine like terms: -11x + 15x = 4x -47 + 4x = 3(x + -3) + 8 Reorder the terms: -47 + 4x = 3(-3 + x) + 8 -47 + 4x = (-3 * 3 + x * 3) + 8 -47 + 4x = (-9 + 3x) + 8 Reorder the terms: -47 + 4x = -9 + 8 + 3x Combine like terms: -9 + 8 = -1 -47 + 4x = -1 + 3x Solving -47 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -47 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x -47 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + 1x = -1 + 0 -47 + 1x = -1 Add '47' to each side of the equation. -47 + 47 + 1x = -1 + 47 Combine like terms: -47 + 47 = 0 0 + 1x = -1 + 47 1x = -1 + 47 Combine like terms: -1 + 47 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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