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Simplifying 4x + -5(8 + -9x) = 2(x + -2) + 1 4x + (8 * -5 + -9x * -5) = 2(x + -2) + 1 4x + (-40 + 45x) = 2(x + -2) + 1 Reorder the terms: -40 + 4x + 45x = 2(x + -2) + 1 Combine like terms: 4x + 45x = 49x -40 + 49x = 2(x + -2) + 1 Reorder the terms: -40 + 49x = 2(-2 + x) + 1 -40 + 49x = (-2 * 2 + x * 2) + 1 -40 + 49x = (-4 + 2x) + 1 Reorder the terms: -40 + 49x = -4 + 1 + 2x Combine like terms: -4 + 1 = -3 -40 + 49x = -3 + 2x Solving -40 + 49x = -3 + 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. -40 + 49x + -2x = -3 + 2x + -2x Combine like terms: 49x + -2x = 47x -40 + 47x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 47x = -3 + 0 -40 + 47x = -3 Add '40' to each side of the equation. -40 + 40 + 47x = -3 + 40 Combine like terms: -40 + 40 = 0 0 + 47x = -3 + 40 47x = -3 + 40 Combine like terms: -3 + 40 = 37 47x = 37 Divide each side by '47'. x = 0.7872340426 Simplifying x = 0.7872340426
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