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Simplifying 5(3x + -8) + -3(x + 2) + -18x = 0 Reorder the terms: 5(-8 + 3x) + -3(x + 2) + -18x = 0 (-8 * 5 + 3x * 5) + -3(x + 2) + -18x = 0 (-40 + 15x) + -3(x + 2) + -18x = 0 Reorder the terms: -40 + 15x + -3(2 + x) + -18x = 0 -40 + 15x + (2 * -3 + x * -3) + -18x = 0 -40 + 15x + (-6 + -3x) + -18x = 0 Reorder the terms: -40 + -6 + 15x + -3x + -18x = 0 Combine like terms: -40 + -6 = -46 -46 + 15x + -3x + -18x = 0 Combine like terms: 15x + -3x = 12x -46 + 12x + -18x = 0 Combine like terms: 12x + -18x = -6x -46 + -6x = 0 Solving -46 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -6x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -6x = 0 + 46 -6x = 0 + 46 Combine like terms: 0 + 46 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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