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Simplifying 5(3x + -8) + -2(4 + -9x) = 58 Reorder the terms: 5(-8 + 3x) + -2(4 + -9x) = 58 (-8 * 5 + 3x * 5) + -2(4 + -9x) = 58 (-40 + 15x) + -2(4 + -9x) = 58 -40 + 15x + (4 * -2 + -9x * -2) = 58 -40 + 15x + (-8 + 18x) = 58 Reorder the terms: -40 + -8 + 15x + 18x = 58 Combine like terms: -40 + -8 = -48 -48 + 15x + 18x = 58 Combine like terms: 15x + 18x = 33x -48 + 33x = 58 Solving -48 + 33x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 33x = 58 + 48 Combine like terms: -48 + 48 = 0 0 + 33x = 58 + 48 33x = 58 + 48 Combine like terms: 58 + 48 = 106 33x = 106 Divide each side by '33'. x = 3.212121212 Simplifying x = 3.212121212
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